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Finding the Fourth Proportional to 967.79, 1,453.44 and 886.46

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Solution

The fourth proportional to 967.79, 1,453.44 and 886.46 is: 1,331.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.79 : 1,453.44 = 886.46 : x
  2. Step 2: Convert to fraction form
    967.79/1,453.44 = 886.46/x
  3. Step 3: Cross multiply
    967.79x = 1,453.44 × 886.46
  4. Step 4: Simplify right side
    967.79x = 1,288,414.52
  5. Step 5: Solve for x
    x = 1,288,414.52/967.79
  6. Step 6: Final answer
    x = 1,331.30

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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.