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Finding the Fourth Proportional to 966.66, 1,442.84 and 943.35

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Solution

The fourth proportional to 966.66, 1,442.84 and 943.35 is: 1,408.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.66 : 1,442.84 = 943.35 : x
  2. Step 2: Convert to fraction form
    966.66/1,442.84 = 943.35/x
  3. Step 3: Cross multiply
    966.66x = 1,442.84 × 943.35
  4. Step 4: Simplify right side
    966.66x = 1,361,098.40
  5. Step 5: Solve for x
    x = 1,361,098.40/966.66
  6. Step 6: Final answer
    x = 1,408.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.