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Finding the Fourth Proportional to 966.64, 1,447.80 and 829.36

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Solution

The fourth proportional to 966.64, 1,447.80 and 829.36 is: 1,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.64 : 1,447.80 = 829.36 : x
  2. Step 2: Convert to fraction form
    966.64/1,447.80 = 829.36/x
  3. Step 3: Cross multiply
    966.64x = 1,447.80 × 829.36
  4. Step 4: Simplify right side
    966.64x = 1,200,747.41
  5. Step 5: Solve for x
    x = 1,200,747.41/966.64
  6. Step 6: Final answer
    x = 1,242.19

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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.