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Finding the Fourth Proportional to 1,127.86, 1,691.80 and 579.70

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Solution

The fourth proportional to 1,127.86, 1,691.80 and 579.70 is: 869.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.86 : 1,691.80 = 579.70 : x
  2. Step 2: Convert to fraction form
    1,127.86/1,691.80 = 579.70/x
  3. Step 3: Cross multiply
    1,127.86x = 1,691.80 × 579.70
  4. Step 4: Simplify right side
    1,127.86x = 980,728.00
  5. Step 5: Solve for x
    x = 980,728.00/1,127.86
  6. Step 6: Final answer
    x = 869.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.