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Finding the Fourth Proportional to 1,648.13, 2,472.19 and 493.88

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Solution

The fourth proportional to 1,648.13, 2,472.19 and 493.88 is: 740.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648.13 : 2,472.19 = 493.88 : x
  2. Step 2: Convert to fraction form
    1,648.13/2,472.19 = 493.88/x
  3. Step 3: Cross multiply
    1,648.13x = 2,472.19 × 493.88
  4. Step 4: Simplify right side
    1,648.13x = 1,220,965.20
  5. Step 5: Solve for x
    x = 1,220,965.20/1,648.13
  6. Step 6: Final answer
    x = 740.82

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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.