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Finding the Fourth Proportional to 781.38, 1,165.19 and 684.18

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Solution

The fourth proportional to 781.38, 1,165.19 and 684.18 is: 1,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.38 : 1,165.19 = 684.18 : x
  2. Step 2: Convert to fraction form
    781.38/1,165.19 = 684.18/x
  3. Step 3: Cross multiply
    781.38x = 1,165.19 × 684.18
  4. Step 4: Simplify right side
    781.38x = 797,196.27
  5. Step 5: Solve for x
    x = 797,196.27/781.38
  6. Step 6: Final answer
    x = 1,020.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.