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Finding the Fourth Proportional to 918.10, 1,265.52 and 721.27

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Solution

The fourth proportional to 918.10, 1,265.52 and 721.27 is: 994.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.10 : 1,265.52 = 721.27 : x
  2. Step 2: Convert to fraction form
    918.10/1,265.52 = 721.27/x
  3. Step 3: Cross multiply
    918.10x = 1,265.52 × 721.27
  4. Step 4: Simplify right side
    918.10x = 912,781.61
  5. Step 5: Solve for x
    x = 912,781.61/918.10
  6. Step 6: Final answer
    x = 994.21

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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.