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Finding the Fourth Proportional to 1,248.20, 1,872.64 and 545.47

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Solution

The fourth proportional to 1,248.20, 1,872.64 and 545.47 is: 818.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,248.20 : 1,872.64 = 545.47 : x
  2. Step 2: Convert to fraction form
    1,248.20/1,872.64 = 545.47/x
  3. Step 3: Cross multiply
    1,248.20x = 1,872.64 × 545.47
  4. Step 4: Simplify right side
    1,248.20x = 1,021,456.85
  5. Step 5: Solve for x
    x = 1,021,456.85/1,248.20
  6. Step 6: Final answer
    x = 818.35

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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.