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Finding the Fourth Proportional to 1,471.57, 2,207.88 and 649.75

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Solution

The fourth proportional to 1,471.57, 2,207.88 and 649.75 is: 974.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.57 : 2,207.88 = 649.75 : x
  2. Step 2: Convert to fraction form
    1,471.57/2,207.88 = 649.75/x
  3. Step 3: Cross multiply
    1,471.57x = 2,207.88 × 649.75
  4. Step 4: Simplify right side
    1,471.57x = 1,434,570.03
  5. Step 5: Solve for x
    x = 1,434,570.03/1,471.57
  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.