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Finding the Fourth Proportional to 1,474.28, 2,211.78 and 549.88

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Solution

The fourth proportional to 1,474.28, 2,211.78 and 549.88 is: 824.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.28 : 2,211.78 = 549.88 : x
  2. Step 2: Convert to fraction form
    1,474.28/2,211.78 = 549.88/x
  3. Step 3: Cross multiply
    1,474.28x = 2,211.78 × 549.88
  4. Step 4: Simplify right side
    1,474.28x = 1,216,213.59
  5. Step 5: Solve for x
    x = 1,216,213.59/1,474.28
  6. Step 6: Final answer
    x = 824.95

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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.