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Finding the Fourth Proportional to 1,447.74, 2,171.16 and 473.63

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Solution

The fourth proportional to 1,447.74, 2,171.16 and 473.63 is: 710.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.74 : 2,171.16 = 473.63 : x
  2. Step 2: Convert to fraction form
    1,447.74/2,171.16 = 473.63/x
  3. Step 3: Cross multiply
    1,447.74x = 2,171.16 × 473.63
  4. Step 4: Simplify right side
    1,447.74x = 1,028,315.66
  5. Step 5: Solve for x
    x = 1,028,315.66/1,447.74
  6. Step 6: Final answer
    x = 710.29

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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.