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Finding the Fourth Proportional to 1,132.24, 1,697.83 and 439.23

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Solution

The fourth proportional to 1,132.24, 1,697.83 and 439.23 is: 658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.24 : 1,697.83 = 439.23 : x
  2. Step 2: Convert to fraction form
    1,132.24/1,697.83 = 439.23/x
  3. Step 3: Cross multiply
    1,132.24x = 1,697.83 × 439.23
  4. Step 4: Simplify right side
    1,132.24x = 745,737.87
  5. Step 5: Solve for x
    x = 745,737.87/1,132.24
  6. Step 6: Final answer
    x = 658.64

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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.