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Finding the Fourth Proportional to 765.76, 1,143.65 and 611.92

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Solution

The fourth proportional to 765.76, 1,143.65 and 611.92 is: 913.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.76 : 1,143.65 = 611.92 : x
  2. Step 2: Convert to fraction form
    765.76/1,143.65 = 611.92/x
  3. Step 3: Cross multiply
    765.76x = 1,143.65 × 611.92
  4. Step 4: Simplify right side
    765.76x = 699,822.31
  5. Step 5: Solve for x
    x = 699,822.31/765.76
  6. Step 6: Final answer
    x = 913.89

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