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Finding the Fourth Proportional to 1,086.91, 1,499.77 and 614.68

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Solution

The fourth proportional to 1,086.91, 1,499.77 and 614.68 is: 848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.91 : 1,499.77 = 614.68 : x
  2. Step 2: Convert to fraction form
    1,086.91/1,499.77 = 614.68/x
  3. Step 3: Cross multiply
    1,086.91x = 1,499.77 × 614.68
  4. Step 4: Simplify right side
    1,086.91x = 921,878.62
  5. Step 5: Solve for x
    x = 921,878.62/1,086.91
  6. Step 6: Final answer
    x = 848.16

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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.