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Finding the Fourth Proportional to 1,108.86, 1,530.17 and 611.53

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Solution

The fourth proportional to 1,108.86, 1,530.17 and 611.53 is: 843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,108.86 : 1,530.17 = 611.53 : x
  2. Step 2: Convert to fraction form
    1,108.86/1,530.17 = 611.53/x
  3. Step 3: Cross multiply
    1,108.86x = 1,530.17 × 611.53
  4. Step 4: Simplify right side
    1,108.86x = 935,744.86
  5. Step 5: Solve for x
    x = 935,744.86/1,108.86
  6. Step 6: Final answer
    x = 843.88

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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.