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Finding the Fourth Proportional to 1,227.67, 1,841.49 and 405.93

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Solution

The fourth proportional to 1,227.67, 1,841.49 and 405.93 is: 608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.67 : 1,841.49 = 405.93 : x
  2. Step 2: Convert to fraction form
    1,227.67/1,841.49 = 405.93/x
  3. Step 3: Cross multiply
    1,227.67x = 1,841.49 × 405.93
  4. Step 4: Simplify right side
    1,227.67x = 747,516.04
  5. Step 5: Solve for x
    x = 747,516.04/1,227.67
  6. Step 6: Final answer
    x = 608.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.