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Finding the Fourth Proportional to 1,115.29, 1,539.17 and 617.92

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Solution

The fourth proportional to 1,115.29, 1,539.17 and 617.92 is: 852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,115.29 : 1,539.17 = 617.92 : x
  2. Step 2: Convert to fraction form
    1,115.29/1,539.17 = 617.92/x
  3. Step 3: Cross multiply
    1,115.29x = 1,539.17 × 617.92
  4. Step 4: Simplify right side
    1,115.29x = 951,083.93
  5. Step 5: Solve for x
    x = 951,083.93/1,115.29
  6. Step 6: Final answer
    x = 852.77

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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.