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Finding the Fourth Proportional to 1,086.35, 1,499.15 and 614.24

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Solution

The fourth proportional to 1,086.35, 1,499.15 and 614.24 is: 847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.35 : 1,499.15 = 614.24 : x
  2. Step 2: Convert to fraction form
    1,086.35/1,499.15 = 614.24/x
  3. Step 3: Cross multiply
    1,086.35x = 1,499.15 × 614.24
  4. Step 4: Simplify right side
    1,086.35x = 920,837.90
  5. Step 5: Solve for x
    x = 920,837.90/1,086.35
  6. Step 6: Final answer
    x = 847.64

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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.