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Finding the Fourth Proportional to 1,037.42, 1,556.14 and 267.92

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Solution

The fourth proportional to 1,037.42, 1,556.14 and 267.92 is: 401.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.42 : 1,556.14 = 267.92 : x
  2. Step 2: Convert to fraction form
    1,037.42/1,556.14 = 267.92/x
  3. Step 3: Cross multiply
    1,037.42x = 1,556.14 × 267.92
  4. Step 4: Simplify right side
    1,037.42x = 416,921.03
  5. Step 5: Solve for x
    x = 416,921.03/1,037.42
  6. Step 6: Final answer
    x = 401.88

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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.