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Finding the Fourth Proportional to 862.22, 1,294.14 and 671.06

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Solution

The fourth proportional to 862.22, 1,294.14 and 671.06 is: 1,007.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.22 : 1,294.14 = 671.06 : x
  2. Step 2: Convert to fraction form
    862.22/1,294.14 = 671.06/x
  3. Step 3: Cross multiply
    862.22x = 1,294.14 × 671.06
  4. Step 4: Simplify right side
    862.22x = 868,445.59
  5. Step 5: Solve for x
    x = 868,445.59/862.22
  6. Step 6: Final answer
    x = 1,007.22

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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.