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Finding the Fourth Proportional to 1,132.43, 1,697.27 and 584.30

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Solution

The fourth proportional to 1,132.43, 1,697.27 and 584.30 is: 875.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,132.43 : 1,697.27 = 584.30 : x
  2. Step 2: Convert to fraction form
    1,132.43/1,697.27 = 584.30/x
  3. Step 3: Cross multiply
    1,132.43x = 1,697.27 × 584.30
  4. Step 4: Simplify right side
    1,132.43x = 991,716.18
  5. Step 5: Solve for x
    x = 991,716.18/1,132.43
  6. Step 6: Final answer
    x = 875.75

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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.