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Finding the Fourth Proportional to 1,105.45, 1,658.81 and 447.46

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Solution

The fourth proportional to 1,105.45, 1,658.81 and 447.46 is: 671.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.45 : 1,658.81 = 447.46 : x
  2. Step 2: Convert to fraction form
    1,105.45/1,658.81 = 447.46/x
  3. Step 3: Cross multiply
    1,105.45x = 1,658.81 × 447.46
  4. Step 4: Simplify right side
    1,105.45x = 742,248.09
  5. Step 5: Solve for x
    x = 742,248.09/1,105.45
  6. Step 6: Final answer
    x = 671.45

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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.