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Finding the Fourth Proportional to 1,532.22, 2,296.98 and 558.18

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Solution

The fourth proportional to 1,532.22, 2,296.98 and 558.18 is: 836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,532.22 : 2,296.98 = 558.18 : x
  2. Step 2: Convert to fraction form
    1,532.22/2,296.98 = 558.18/x
  3. Step 3: Cross multiply
    1,532.22x = 2,296.98 × 558.18
  4. Step 4: Simplify right side
    1,532.22x = 1,282,128.30
  5. Step 5: Solve for x
    x = 1,282,128.30/1,532.22
  6. Step 6: Final answer
    x = 836.78

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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.