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Finding the Fourth Proportional to 1,089.75, 1,634.66 and 268.02

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Solution

The fourth proportional to 1,089.75, 1,634.66 and 268.02 is: 402.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.75 : 1,634.66 = 268.02 : x
  2. Step 2: Convert to fraction form
    1,089.75/1,634.66 = 268.02/x
  3. Step 3: Cross multiply
    1,089.75x = 1,634.66 × 268.02
  4. Step 4: Simplify right side
    1,089.75x = 438,121.57
  5. Step 5: Solve for x
    x = 438,121.57/1,089.75
  6. Step 6: Final answer
    x = 402.04

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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.