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Finding the Fourth Proportional to 1,227.74, 1,841.40 and 405.92

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Solution

The fourth proportional to 1,227.74, 1,841.40 and 405.92 is: 608.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.74 : 1,841.40 = 405.92 : x
  2. Step 2: Convert to fraction form
    1,227.74/1,841.40 = 405.92/x
  3. Step 3: Cross multiply
    1,227.74x = 1,841.40 × 405.92
  4. Step 4: Simplify right side
    1,227.74x = 747,465.69
  5. Step 5: Solve for x
    x = 747,465.69/1,227.74
  6. Step 6: Final answer
    x = 608.82

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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.