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Finding the Fourth Proportional to 781.72, 1,171.16 and 473.68

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Solution

The fourth proportional to 781.72, 1,171.16 and 473.68 is: 709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.72 : 1,171.16 = 473.68 : x
  2. Step 2: Convert to fraction form
    781.72/1,171.16 = 473.68/x
  3. Step 3: Cross multiply
    781.72x = 1,171.16 × 473.68
  4. Step 4: Simplify right side
    781.72x = 554,755.07
  5. Step 5: Solve for x
    x = 554,755.07/781.72
  6. Step 6: Final answer
    x = 709.66

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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.