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Finding the Fourth Proportional to 925.75, 1,388.64 and 267.64

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Solution

The fourth proportional to 925.75, 1,388.64 and 267.64 is: 401.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.75 : 1,388.64 = 267.64 : x
  2. Step 2: Convert to fraction form
    925.75/1,388.64 = 267.64/x
  3. Step 3: Cross multiply
    925.75x = 1,388.64 × 267.64
  4. Step 4: Simplify right side
    925.75x = 371,648.67
  5. Step 5: Solve for x
    x = 371,648.67/925.75
  6. Step 6: Final answer
    x = 401.46

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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.