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Finding the Fourth Proportional to 780.62, 1,171.34 and 565.97

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Solution

The fourth proportional to 780.62, 1,171.34 and 565.97 is: 849.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.62 : 1,171.34 = 565.97 : x
  2. Step 2: Convert to fraction form
    780.62/1,171.34 = 565.97/x
  3. Step 3: Cross multiply
    780.62x = 1,171.34 × 565.97
  4. Step 4: Simplify right side
    780.62x = 662,945.52
  5. Step 5: Solve for x
    x = 662,945.52/780.62
  6. Step 6: Final answer
    x = 849.25

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