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Finding the Fourth Proportional to 1,227.96, 1,842.39 and 497.61

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Solution

The fourth proportional to 1,227.96, 1,842.39 and 497.61 is: 746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.96 : 1,842.39 = 497.61 : x
  2. Step 2: Convert to fraction form
    1,227.96/1,842.39 = 497.61/x
  3. Step 3: Cross multiply
    1,227.96x = 1,842.39 × 497.61
  4. Step 4: Simplify right side
    1,227.96x = 916,791.69
  5. Step 5: Solve for x
    x = 916,791.69/1,227.96
  6. Step 6: Final answer
    x = 746.60

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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.