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Finding the Fourth Proportional to 1,731.24, 2,597.09 and 635.62

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Solution

The fourth proportional to 1,731.24, 2,597.09 and 635.62 is: 953.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,731.24 : 2,597.09 = 635.62 : x
  2. Step 2: Convert to fraction form
    1,731.24/2,597.09 = 635.62/x
  3. Step 3: Cross multiply
    1,731.24x = 2,597.09 × 635.62
  4. Step 4: Simplify right side
    1,731.24x = 1,650,762.35
  5. Step 5: Solve for x
    x = 1,650,762.35/1,731.24
  6. Step 6: Final answer
    x = 953.51

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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.