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Finding the Fourth Proportional to 916.97, 1,265.31 and 518.58

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Solution

The fourth proportional to 916.97, 1,265.31 and 518.58 is: 715.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.97 : 1,265.31 = 518.58 : x
  2. Step 2: Convert to fraction form
    916.97/1,265.31 = 518.58/x
  3. Step 3: Cross multiply
    916.97x = 1,265.31 × 518.58
  4. Step 4: Simplify right side
    916.97x = 656,164.46
  5. Step 5: Solve for x
    x = 656,164.46/916.97
  6. Step 6: Final answer
    x = 715.58

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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.