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Finding the Fourth Proportional to 729.62, 1,006.90 and 435.14

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Solution

The fourth proportional to 729.62, 1,006.90 and 435.14 is: 600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.62 : 1,006.90 = 435.14 : x
  2. Step 2: Convert to fraction form
    729.62/1,006.90 = 435.14/x
  3. Step 3: Cross multiply
    729.62x = 1,006.90 × 435.14
  4. Step 4: Simplify right side
    729.62x = 438,142.47
  5. Step 5: Solve for x
    x = 438,142.47/729.62
  6. Step 6: Final answer
    x = 600.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.