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Finding the Fourth Proportional to 1,227.46, 1,841.26 and 497.04

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Solution

The fourth proportional to 1,227.46, 1,841.26 and 497.04 is: 745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.46 : 1,841.26 = 497.04 : x
  2. Step 2: Convert to fraction form
    1,227.46/1,841.26 = 497.04/x
  3. Step 3: Cross multiply
    1,227.46x = 1,841.26 × 497.04
  4. Step 4: Simplify right side
    1,227.46x = 915,179.87
  5. Step 5: Solve for x
    x = 915,179.87/1,227.46
  6. Step 6: Final answer
    x = 745.59

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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.