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Finding the Fourth Proportional to 1,447.71, 2,170.76 and 473.28

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Solution

The fourth proportional to 1,447.71, 2,170.76 and 473.28 is: 709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.71 : 2,170.76 = 473.28 : x
  2. Step 2: Convert to fraction form
    1,447.71/2,170.76 = 473.28/x
  3. Step 3: Cross multiply
    1,447.71x = 2,170.76 × 473.28
  4. Step 4: Simplify right side
    1,447.71x = 1,027,374.93
  5. Step 5: Solve for x
    x = 1,027,374.93/1,447.71
  6. Step 6: Final answer
    x = 709.66

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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.