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Finding the Fourth Proportional to 1,089.76, 1,634.66 and 268.04

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Solution

The fourth proportional to 1,089.76, 1,634.66 and 268.04 is: 402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.76 : 1,634.66 = 268.04 : x
  2. Step 2: Convert to fraction form
    1,089.76/1,634.66 = 268.04/x
  3. Step 3: Cross multiply
    1,089.76x = 1,634.66 × 268.04
  4. Step 4: Simplify right side
    1,089.76x = 438,150.18
  5. Step 5: Solve for x
    x = 438,150.18/1,089.76
  6. Step 6: Final answer
    x = 402.06

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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.