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Finding the Fourth Proportional to 966.96, 1,450.85 and 534.42

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Solution

The fourth proportional to 966.96, 1,450.85 and 534.42 is: 801.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.96 : 1,450.85 = 534.42 : x
  2. Step 2: Convert to fraction form
    966.96/1,450.85 = 534.42/x
  3. Step 3: Cross multiply
    966.96x = 1,450.85 × 534.42
  4. Step 4: Simplify right side
    966.96x = 775,360.58
  5. Step 5: Solve for x
    x = 775,360.58/966.96
  6. Step 6: Final answer
    x = 801.85

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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.