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Finding the Fourth Proportional to 1,088.87, 1,633.30 and 267.14

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Solution

The fourth proportional to 1,088.87, 1,633.30 and 267.14 is: 400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.87 : 1,633.30 = 267.14 : x
  2. Step 2: Convert to fraction form
    1,088.87/1,633.30 = 267.14/x
  3. Step 3: Cross multiply
    1,088.87x = 1,633.30 × 267.14
  4. Step 4: Simplify right side
    1,088.87x = 436,317.05
  5. Step 5: Solve for x
    x = 436,317.05/1,088.87
  6. Step 6: Final answer
    x = 400.71

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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.