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Finding the Fourth Proportional to 729.90, 1,007.50 and 435.14

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Solution

The fourth proportional to 729.90, 1,007.50 and 435.14 is: 600.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.90 : 1,007.50 = 435.14 : x
  2. Step 2: Convert to fraction form
    729.90/1,007.50 = 435.14/x
  3. Step 3: Cross multiply
    729.90x = 1,007.50 × 435.14
  4. Step 4: Simplify right side
    729.90x = 438,403.55
  5. Step 5: Solve for x
    x = 438,403.55/729.90
  6. Step 6: Final answer
    x = 600.64

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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.