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Finding the Fourth Proportional to 966.70, 1,333.62 and 929.44

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Solution

The fourth proportional to 966.70, 1,333.62 and 929.44 is: 1,282.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.70 : 1,333.62 = 929.44 : x
  2. Step 2: Convert to fraction form
    966.70/1,333.62 = 929.44/x
  3. Step 3: Cross multiply
    966.70x = 1,333.62 × 929.44
  4. Step 4: Simplify right side
    966.70x = 1,239,519.77
  5. Step 5: Solve for x
    x = 1,239,519.77/966.70
  6. Step 6: Final answer
    x = 1,282.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.