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Finding the Fourth Proportional to 1,195.88, 1,650.42 and 724.02

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Solution

The fourth proportional to 1,195.88, 1,650.42 and 724.02 is: 999.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.88 : 1,650.42 = 724.02 : x
  2. Step 2: Convert to fraction form
    1,195.88/1,650.42 = 724.02/x
  3. Step 3: Cross multiply
    1,195.88x = 1,650.42 × 724.02
  4. Step 4: Simplify right side
    1,195.88x = 1,194,937.09
  5. Step 5: Solve for x
    x = 1,194,937.09/1,195.88
  6. Step 6: Final answer
    x = 999.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.