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Finding the Fourth Proportional to 966.84, 1,448.49 and 863.10

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Solution

The fourth proportional to 966.84, 1,448.49 and 863.10 is: 1,293.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.84 : 1,448.49 = 863.10 : x
  2. Step 2: Convert to fraction form
    966.84/1,448.49 = 863.10/x
  3. Step 3: Cross multiply
    966.84x = 1,448.49 × 863.10
  4. Step 4: Simplify right side
    966.84x = 1,250,191.72
  5. Step 5: Solve for x
    x = 1,250,191.72/966.84
  6. Step 6: Final answer
    x = 1,293.07

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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.