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Finding the Fourth Proportional to 966.78, 1,452.04 and 828.27

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Solution

The fourth proportional to 966.78, 1,452.04 and 828.27 is: 1,244.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.78 : 1,452.04 = 828.27 : x
  2. Step 2: Convert to fraction form
    966.78/1,452.04 = 828.27/x
  3. Step 3: Cross multiply
    966.78x = 1,452.04 × 828.27
  4. Step 4: Simplify right side
    966.78x = 1,202,679.10
  5. Step 5: Solve for x
    x = 1,202,679.10/966.78
  6. Step 6: Final answer
    x = 1,244.00

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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.