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Finding the Fourth Proportional to 1,227, 1,841.31 and 457.50

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Solution

The fourth proportional to 1,227, 1,841.31 and 457.50 is: 686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227 : 1,841.31 = 457.50 : x
  2. Step 2: Convert to fraction form
    1,227/1,841.31 = 457.50/x
  3. Step 3: Cross multiply
    1,227x = 1,841.31 × 457.50
  4. Step 4: Simplify right side
    1,227x = 842,399.33
  5. Step 5: Solve for x
    x = 842,399.33/1,227
  6. Step 6: Final answer
    x = 686.55

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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.