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Finding the Fourth Proportional to 1,086.23, 1,499.04 and 614.23

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Solution

The fourth proportional to 1,086.23, 1,499.04 and 614.23 is: 847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.23 : 1,499.04 = 614.23 : x
  2. Step 2: Convert to fraction form
    1,086.23/1,499.04 = 614.23/x
  3. Step 3: Cross multiply
    1,086.23x = 1,499.04 × 614.23
  4. Step 4: Simplify right side
    1,086.23x = 920,755.34
  5. Step 5: Solve for x
    x = 920,755.34/1,086.23
  6. Step 6: Final answer
    x = 847.66

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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.