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Finding the Fourth Proportional to 966.15, 1,445.58 and 734.22

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Solution

The fourth proportional to 966.15, 1,445.58 and 734.22 is: 1,098.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.15 : 1,445.58 = 734.22 : x
  2. Step 2: Convert to fraction form
    966.15/1,445.58 = 734.22/x
  3. Step 3: Cross multiply
    966.15x = 1,445.58 × 734.22
  4. Step 4: Simplify right side
    966.15x = 1,061,373.75
  5. Step 5: Solve for x
    x = 1,061,373.75/966.15
  6. Step 6: Final answer
    x = 1,098.56

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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.