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Finding the Fourth Proportional to 966.46, 1,450.17 and 712.06

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Solution

The fourth proportional to 966.46, 1,450.17 and 712.06 is: 1,068.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.46 : 1,450.17 = 712.06 : x
  2. Step 2: Convert to fraction form
    966.46/1,450.17 = 712.06/x
  3. Step 3: Cross multiply
    966.46x = 1,450.17 × 712.06
  4. Step 4: Simplify right side
    966.46x = 1,032,608.05
  5. Step 5: Solve for x
    x = 1,032,608.05/966.46
  6. Step 6: Final answer
    x = 1,068.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.