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Finding the Fourth Proportional to 1,177.27, 1,764.62 and 591.11

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Solution

The fourth proportional to 1,177.27, 1,764.62 and 591.11 is: 886.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,177.27 : 1,764.62 = 591.11 : x
  2. Step 2: Convert to fraction form
    1,177.27/1,764.62 = 591.11/x
  3. Step 3: Cross multiply
    1,177.27x = 1,764.62 × 591.11
  4. Step 4: Simplify right side
    1,177.27x = 1,043,084.53
  5. Step 5: Solve for x
    x = 1,043,084.53/1,177.27
  6. Step 6: Final answer
    x = 886.02

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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.