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Finding the Fourth Proportional to 1,132.27, 1,697.63 and 391.69

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Solution

The fourth proportional to 1,132.27, 1,697.63 and 391.69 is: 587.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.27 : 1,697.63 = 391.69 : x
  2. Step 2: Convert to fraction form
    1,132.27/1,697.63 = 391.69/x
  3. Step 3: Cross multiply
    1,132.27x = 1,697.63 × 391.69
  4. Step 4: Simplify right side
    1,132.27x = 664,944.86
  5. Step 5: Solve for x
    x = 664,944.86/1,132.27
  6. Step 6: Final answer
    x = 587.27

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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.