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Finding the Fourth Proportional to 1,228.80, 1,843.92 and 498.27

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Solution

The fourth proportional to 1,228.80, 1,843.92 and 498.27 is: 747.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228.80 : 1,843.92 = 498.27 : x
  2. Step 2: Convert to fraction form
    1,228.80/1,843.92 = 498.27/x
  3. Step 3: Cross multiply
    1,228.80x = 1,843.92 × 498.27
  4. Step 4: Simplify right side
    1,228.80x = 918,770.02
  5. Step 5: Solve for x
    x = 918,770.02/1,228.80
  6. Step 6: Final answer
    x = 747.70

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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.