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Finding the Fourth Proportional to 1,105.62, 1,658.20 and 325.44

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Solution

The fourth proportional to 1,105.62, 1,658.20 and 325.44 is: 488.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.62 : 1,658.20 = 325.44 : x
  2. Step 2: Convert to fraction form
    1,105.62/1,658.20 = 325.44/x
  3. Step 3: Cross multiply
    1,105.62x = 1,658.20 × 325.44
  4. Step 4: Simplify right side
    1,105.62x = 539,644.61
  5. Step 5: Solve for x
    x = 539,644.61/1,105.62
  6. Step 6: Final answer
    x = 488.09

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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.