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Finding the Fourth Proportional to 1,227.80, 1,841.70 and 497.90

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Solution

The fourth proportional to 1,227.80, 1,841.70 and 497.90 is: 746.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227.80 : 1,841.70 = 497.90 : x
  2. Step 2: Convert to fraction form
    1,227.80/1,841.70 = 497.90/x
  3. Step 3: Cross multiply
    1,227.80x = 1,841.70 × 497.90
  4. Step 4: Simplify right side
    1,227.80x = 916,982.43
  5. Step 5: Solve for x
    x = 916,982.43/1,227.80
  6. Step 6: Final answer
    x = 746.85

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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.