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Finding the Fourth Proportional to 916.76, 1,375.18 and 267.48

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Solution

The fourth proportional to 916.76, 1,375.18 and 267.48 is: 401.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    916.76 : 1,375.18 = 267.48 : x
  2. Step 2: Convert to fraction form
    916.76/1,375.18 = 267.48/x
  3. Step 3: Cross multiply
    916.76x = 1,375.18 × 267.48
  4. Step 4: Simplify right side
    916.76x = 367,833.15
  5. Step 5: Solve for x
    x = 367,833.15/916.76
  6. Step 6: Final answer
    x = 401.23

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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.