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Finding the Fourth Proportional to 966.12, 1,448.37 and 657.11

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Solution

The fourth proportional to 966.12, 1,448.37 and 657.11 is: 985.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.12 : 1,448.37 = 657.11 : x
  2. Step 2: Convert to fraction form
    966.12/1,448.37 = 657.11/x
  3. Step 3: Cross multiply
    966.12x = 1,448.37 × 657.11
  4. Step 4: Simplify right side
    966.12x = 951,738.41
  5. Step 5: Solve for x
    x = 951,738.41/966.12
  6. Step 6: Final answer
    x = 985.11

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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.