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Finding the Fourth Proportional to 1,202.93, 1,660.08 and 724.52

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Solution

The fourth proportional to 1,202.93, 1,660.08 and 724.52 is: 999.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.93 : 1,660.08 = 724.52 : x
  2. Step 2: Convert to fraction form
    1,202.93/1,660.08 = 724.52/x
  3. Step 3: Cross multiply
    1,202.93x = 1,660.08 × 724.52
  4. Step 4: Simplify right side
    1,202.93x = 1,202,768.03
  5. Step 5: Solve for x
    x = 1,202,768.03/1,202.93
  6. Step 6: Final answer
    x = 999.87

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Why These Related Problems?

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