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Finding the Fourth Proportional to 1,040.49, 1,560.60 and 424.23

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Solution

The fourth proportional to 1,040.49, 1,560.60 and 424.23 is: 636.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,040.49 : 1,560.60 = 424.23 : x
  2. Step 2: Convert to fraction form
    1,040.49/1,560.60 = 424.23/x
  3. Step 3: Cross multiply
    1,040.49x = 1,560.60 × 424.23
  4. Step 4: Simplify right side
    1,040.49x = 662,053.34
  5. Step 5: Solve for x
    x = 662,053.34/1,040.49
  6. Step 6: Final answer
    x = 636.29

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Half scale
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Double scale
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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.