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Finding the Fourth Proportional to 781.31, 1,171.37 and 473.09

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Solution

The fourth proportional to 781.31, 1,171.37 and 473.09 is: 709.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.31 : 1,171.37 = 473.09 : x
  2. Step 2: Convert to fraction form
    781.31/1,171.37 = 473.09/x
  3. Step 3: Cross multiply
    781.31x = 1,171.37 × 473.09
  4. Step 4: Simplify right side
    781.31x = 554,158.17
  5. Step 5: Solve for x
    x = 554,158.17/781.31
  6. Step 6: Final answer
    x = 709.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.