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Finding the Fourth Proportional to 715.29, 1,071.86 and 458.25

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Solution

The fourth proportional to 715.29, 1,071.86 and 458.25 is: 686.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.29 : 1,071.86 = 458.25 : x
  2. Step 2: Convert to fraction form
    715.29/1,071.86 = 458.25/x
  3. Step 3: Cross multiply
    715.29x = 1,071.86 × 458.25
  4. Step 4: Simplify right side
    715.29x = 491,177.55
  5. Step 5: Solve for x
    x = 491,177.55/715.29
  6. Step 6: Final answer
    x = 686.68

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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.