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Finding the Fourth Proportional to 1,471.32, 2,206.97 and 498.11

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Solution

The fourth proportional to 1,471.32, 2,206.97 and 498.11 is: 747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.32 : 2,206.97 = 498.11 : x
  2. Step 2: Convert to fraction form
    1,471.32/2,206.97 = 498.11/x
  3. Step 3: Cross multiply
    1,471.32x = 2,206.97 × 498.11
  4. Step 4: Simplify right side
    1,471.32x = 1,099,300.30
  5. Step 5: Solve for x
    x = 1,099,300.30/1,471.32
  6. Step 6: Final answer
    x = 747.15

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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.