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Finding the Fourth Proportional to 781.27, 1,077.94 and 462.18

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Solution

The fourth proportional to 781.27, 1,077.94 and 462.18 is: 637.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.27 : 1,077.94 = 462.18 : x
  2. Step 2: Convert to fraction form
    781.27/1,077.94 = 462.18/x
  3. Step 3: Cross multiply
    781.27x = 1,077.94 × 462.18
  4. Step 4: Simplify right side
    781.27x = 498,206.93
  5. Step 5: Solve for x
    x = 498,206.93/781.27
  6. Step 6: Final answer
    x = 637.69

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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.