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Finding the Fourth Proportional to 1,105.59, 1,658.64 and 374.97

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Solution

The fourth proportional to 1,105.59, 1,658.64 and 374.97 is: 562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.59 : 1,658.64 = 374.97 : x
  2. Step 2: Convert to fraction form
    1,105.59/1,658.64 = 374.97/x
  3. Step 3: Cross multiply
    1,105.59x = 1,658.64 × 374.97
  4. Step 4: Simplify right side
    1,105.59x = 621,940.24
  5. Step 5: Solve for x
    x = 621,940.24/1,105.59
  6. Step 6: Final answer
    x = 562.54

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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.