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Finding the Fourth Proportional to 1,471.20, 2,206.80 and 649.48

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Solution

The fourth proportional to 1,471.20, 2,206.80 and 649.48 is: 974.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.20 : 2,206.80 = 649.48 : x
  2. Step 2: Convert to fraction form
    1,471.20/2,206.80 = 649.48/x
  3. Step 3: Cross multiply
    1,471.20x = 2,206.80 × 649.48
  4. Step 4: Simplify right side
    1,471.20x = 1,433,272.46
  5. Step 5: Solve for x
    x = 1,433,272.46/1,471.20
  6. Step 6: Final answer
    x = 974.22

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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.