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Finding the Fourth Proportional to 729.88, 1,007.40 and 468.16

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Solution

The fourth proportional to 729.88, 1,007.40 and 468.16 is: 646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.88 : 1,007.40 = 468.16 : x
  2. Step 2: Convert to fraction form
    729.88/1,007.40 = 468.16/x
  3. Step 3: Cross multiply
    729.88x = 1,007.40 × 468.16
  4. Step 4: Simplify right side
    729.88x = 471,624.38
  5. Step 5: Solve for x
    x = 471,624.38/729.88
  6. Step 6: Final answer
    x = 646.17

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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.