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Finding the Fourth Proportional to 1,248.62, 1,872.33 and 728.77

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Solution

The fourth proportional to 1,248.62, 1,872.33 and 728.77 is: 1,092.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.62 : 1,872.33 = 728.77 : x
  2. Step 2: Convert to fraction form
    1,248.62/1,872.33 = 728.77/x
  3. Step 3: Cross multiply
    1,248.62x = 1,872.33 × 728.77
  4. Step 4: Simplify right side
    1,248.62x = 1,364,494.29
  5. Step 5: Solve for x
    x = 1,364,494.29/1,248.62
  6. Step 6: Final answer
    x = 1,092.81

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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.