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Finding the Fourth Proportional to 1,149.01, 1,721.13 and 599.52

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Solution

The fourth proportional to 1,149.01, 1,721.13 and 599.52 is: 898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.01 : 1,721.13 = 599.52 : x
  2. Step 2: Convert to fraction form
    1,149.01/1,721.13 = 599.52/x
  3. Step 3: Cross multiply
    1,149.01x = 1,721.13 × 599.52
  4. Step 4: Simplify right side
    1,149.01x = 1,031,851.86
  5. Step 5: Solve for x
    x = 1,031,851.86/1,149.01
  6. Step 6: Final answer
    x = 898.04

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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.