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Finding the Fourth Proportional to 966.82, 1,450.18 and 673.46

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Solution

The fourth proportional to 966.82, 1,450.18 and 673.46 is: 1,010.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.82 : 1,450.18 = 673.46 : x
  2. Step 2: Convert to fraction form
    966.82/1,450.18 = 673.46/x
  3. Step 3: Cross multiply
    966.82x = 1,450.18 × 673.46
  4. Step 4: Simplify right side
    966.82x = 976,638.22
  5. Step 5: Solve for x
    x = 976,638.22/966.82
  6. Step 6: Final answer
    x = 1,010.16

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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.