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Finding the Fourth Proportional to 1,471.61, 2,206.72 and 650.11

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Solution

The fourth proportional to 1,471.61, 2,206.72 and 650.11 is: 974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.61 : 2,206.72 = 650.11 : x
  2. Step 2: Convert to fraction form
    1,471.61/2,206.72 = 650.11/x
  3. Step 3: Cross multiply
    1,471.61x = 2,206.72 × 650.11
  4. Step 4: Simplify right side
    1,471.61x = 1,434,610.74
  5. Step 5: Solve for x
    x = 1,434,610.74/1,471.61
  6. Step 6: Final answer
    x = 974.86

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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.