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Finding the Fourth Proportional to 916.76, 1,265.28 and 524

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Solution

The fourth proportional to 916.76, 1,265.28 and 524 is: 723.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.76 : 1,265.28 = 524 : x
  2. Step 2: Convert to fraction form
    916.76/1,265.28 = 524/x
  3. Step 3: Cross multiply
    916.76x = 1,265.28 × 524
  4. Step 4: Simplify right side
    916.76x = 663,006.72
  5. Step 5: Solve for x
    x = 663,006.72/916.76
  6. Step 6: Final answer
    x = 723.21

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