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Finding the Fourth Proportional to 1,040.64, 1,560.32 and 347.14

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Solution

The fourth proportional to 1,040.64, 1,560.32 and 347.14 is: 520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.64 : 1,560.32 = 347.14 : x
  2. Step 2: Convert to fraction form
    1,040.64/1,560.32 = 347.14/x
  3. Step 3: Cross multiply
    1,040.64x = 1,560.32 × 347.14
  4. Step 4: Simplify right side
    1,040.64x = 541,649.48
  5. Step 5: Solve for x
    x = 541,649.48/1,040.64
  6. Step 6: Final answer
    x = 520.50

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Find fourth proportional to 520.32, 780.16 and 173.57
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.