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Finding the Fourth Proportional to 1,447.59, 2,171.53 and 407.59

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Solution

The fourth proportional to 1,447.59, 2,171.53 and 407.59 is: 611.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.59 : 2,171.53 = 407.59 : x
  2. Step 2: Convert to fraction form
    1,447.59/2,171.53 = 407.59/x
  3. Step 3: Cross multiply
    1,447.59x = 2,171.53 × 407.59
  4. Step 4: Simplify right side
    1,447.59x = 885,093.91
  5. Step 5: Solve for x
    x = 885,093.91/1,447.59
  6. Step 6: Final answer
    x = 611.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.