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Finding the Fourth Proportional to 1,447.17, 2,170.76 and 407.29

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Solution

The fourth proportional to 1,447.17, 2,170.76 and 407.29 is: 610.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,447.17 : 2,170.76 = 407.29 : x
  2. Step 2: Convert to fraction form
    1,447.17/2,170.76 = 407.29/x
  3. Step 3: Cross multiply
    1,447.17x = 2,170.76 × 407.29
  4. Step 4: Simplify right side
    1,447.17x = 884,129.86
  5. Step 5: Solve for x
    x = 884,129.86/1,447.17
  6. Step 6: Final answer
    x = 610.94

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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.