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Finding the Fourth Proportional to 1,217.43, 1,827.77 and 724.75

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Solution

The fourth proportional to 1,217.43, 1,827.77 and 724.75 is: 1,088.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,217.43 : 1,827.77 = 724.75 : x
  2. Step 2: Convert to fraction form
    1,217.43/1,827.77 = 724.75/x
  3. Step 3: Cross multiply
    1,217.43x = 1,827.77 × 724.75
  4. Step 4: Simplify right side
    1,217.43x = 1,324,668.11
  5. Step 5: Solve for x
    x = 1,324,668.11/1,217.43
  6. Step 6: Final answer
    x = 1,088.09

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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.