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Finding the Fourth Proportional to 1,105.32, 1,658.46 and 335.88

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Solution

The fourth proportional to 1,105.32, 1,658.46 and 335.88 is: 503.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.32 : 1,658.46 = 335.88 : x
  2. Step 2: Convert to fraction form
    1,105.32/1,658.46 = 335.88/x
  3. Step 3: Cross multiply
    1,105.32x = 1,658.46 × 335.88
  4. Step 4: Simplify right side
    1,105.32x = 557,043.54
  5. Step 5: Solve for x
    x = 557,043.54/1,105.32
  6. Step 6: Final answer
    x = 503.97

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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.