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Finding the Fourth Proportional to 808.76, 1,115.92 and 477.29

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Solution

The fourth proportional to 808.76, 1,115.92 and 477.29 is: 658.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.76 : 1,115.92 = 477.29 : x
  2. Step 2: Convert to fraction form
    808.76/1,115.92 = 477.29/x
  3. Step 3: Cross multiply
    808.76x = 1,115.92 × 477.29
  4. Step 4: Simplify right side
    808.76x = 532,617.46
  5. Step 5: Solve for x
    x = 532,617.46/808.76
  6. Step 6: Final answer
    x = 658.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.