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Finding the Fourth Proportional to 1,086.91, 1,499.96 and 614.78

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Solution

The fourth proportional to 1,086.91, 1,499.96 and 614.78 is: 848.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.91 : 1,499.96 = 614.78 : x
  2. Step 2: Convert to fraction form
    1,086.91/1,499.96 = 614.78/x
  3. Step 3: Cross multiply
    1,086.91x = 1,499.96 × 614.78
  4. Step 4: Simplify right side
    1,086.91x = 922,141.90
  5. Step 5: Solve for x
    x = 922,141.90/1,086.91
  6. Step 6: Final answer
    x = 848.41

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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.