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Finding the Fourth Proportional to 1,081.31, 1,618.99 and 560.21

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Solution

The fourth proportional to 1,081.31, 1,618.99 and 560.21 is: 838.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.31 : 1,618.99 = 560.21 : x
  2. Step 2: Convert to fraction form
    1,081.31/1,618.99 = 560.21/x
  3. Step 3: Cross multiply
    1,081.31x = 1,618.99 × 560.21
  4. Step 4: Simplify right side
    1,081.31x = 906,964.89
  5. Step 5: Solve for x
    x = 906,964.89/1,081.31
  6. Step 6: Final answer
    x = 838.77

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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.