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Finding the Fourth Proportional to 729.72, 1,007.10 and 435.29

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Solution

The fourth proportional to 729.72, 1,007.10 and 435.29 is: 600.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.72 : 1,007.10 = 435.29 : x
  2. Step 2: Convert to fraction form
    729.72/1,007.10 = 435.29/x
  3. Step 3: Cross multiply
    729.72x = 1,007.10 × 435.29
  4. Step 4: Simplify right side
    729.72x = 438,375.52
  5. Step 5: Solve for x
    x = 438,375.52/729.72
  6. Step 6: Final answer
    x = 600.74

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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.