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Finding the Fourth Proportional to 1,447.59, 2,170.96 and 407.52

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Solution

The fourth proportional to 1,447.59, 2,170.96 and 407.52 is: 611.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.59 : 2,170.96 = 407.52 : x
  2. Step 2: Convert to fraction form
    1,447.59/2,170.96 = 407.52/x
  3. Step 3: Cross multiply
    1,447.59x = 2,170.96 × 407.52
  4. Step 4: Simplify right side
    1,447.59x = 884,709.62
  5. Step 5: Solve for x
    x = 884,709.62/1,447.59
  6. Step 6: Final answer
    x = 611.16

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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.