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Finding the Fourth Proportional to 966.20, 1,454.45 and 832.23

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Solution

The fourth proportional to 966.20, 1,454.45 and 832.23 is: 1,252.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.20 : 1,454.45 = 832.23 : x
  2. Step 2: Convert to fraction form
    966.20/1,454.45 = 832.23/x
  3. Step 3: Cross multiply
    966.20x = 1,454.45 × 832.23
  4. Step 4: Simplify right side
    966.20x = 1,210,432.76
  5. Step 5: Solve for x
    x = 1,210,432.76/966.20
  6. Step 6: Final answer
    x = 1,252.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.