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Finding the Fourth Proportional to 1,037.40, 1,556.10 and 267.90

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Solution

The fourth proportional to 1,037.40, 1,556.10 and 267.90 is: 401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.40 : 1,556.10 = 267.90 : x
  2. Step 2: Convert to fraction form
    1,037.40/1,556.10 = 267.90/x
  3. Step 3: Cross multiply
    1,037.40x = 1,556.10 × 267.90
  4. Step 4: Simplify right side
    1,037.40x = 416,879.19
  5. Step 5: Solve for x
    x = 416,879.19/1,037.40
  6. Step 6: Final answer
    x = 401.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.