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Finding the Fourth Proportional to 1,449.28, 2,173.20 and 474.76

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Solution

The fourth proportional to 1,449.28, 2,173.20 and 474.76 is: 711.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.28 : 2,173.20 = 474.76 : x
  2. Step 2: Convert to fraction form
    1,449.28/2,173.20 = 474.76/x
  3. Step 3: Cross multiply
    1,449.28x = 2,173.20 × 474.76
  4. Step 4: Simplify right side
    1,449.28x = 1,031,748.43
  5. Step 5: Solve for x
    x = 1,031,748.43/1,449.28
  6. Step 6: Final answer
    x = 711.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.