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Finding the Fourth Proportional to 1,086.59, 1,499.23 and 614.50

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Solution

The fourth proportional to 1,086.59, 1,499.23 and 614.50 is: 847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.59 : 1,499.23 = 614.50 : x
  2. Step 2: Convert to fraction form
    1,086.59/1,499.23 = 614.50/x
  3. Step 3: Cross multiply
    1,086.59x = 1,499.23 × 614.50
  4. Step 4: Simplify right side
    1,086.59x = 921,276.84
  5. Step 5: Solve for x
    x = 921,276.84/1,086.59
  6. Step 6: Final answer
    x = 847.86

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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.