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Finding the Fourth Proportional to 1,105.97, 1,658.70 and 326.02

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Solution

The fourth proportional to 1,105.97, 1,658.70 and 326.02 is: 488.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.97 : 1,658.70 = 326.02 : x
  2. Step 2: Convert to fraction form
    1,105.97/1,658.70 = 326.02/x
  3. Step 3: Cross multiply
    1,105.97x = 1,658.70 × 326.02
  4. Step 4: Simplify right side
    1,105.97x = 540,767.11
  5. Step 5: Solve for x
    x = 540,767.11/1,105.97
  6. Step 6: Final answer
    x = 488.95

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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.