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Finding the Fourth Proportional to 1,472.71, 2,209.02 and 446.71

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Solution

The fourth proportional to 1,472.71, 2,209.02 and 446.71 is: 670.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,472.71 : 2,209.02 = 446.71 : x
  2. Step 2: Convert to fraction form
    1,472.71/2,209.02 = 446.71/x
  3. Step 3: Cross multiply
    1,472.71x = 2,209.02 × 446.71
  4. Step 4: Simplify right side
    1,472.71x = 986,791.32
  5. Step 5: Solve for x
    x = 986,791.32/1,472.71
  6. Step 6: Final answer
    x = 670.05

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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.