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Finding the Fourth Proportional to 1,105.73, 1,658.58 and 412.17

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Solution

The fourth proportional to 1,105.73, 1,658.58 and 412.17 is: 618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.73 : 1,658.58 = 412.17 : x
  2. Step 2: Convert to fraction form
    1,105.73/1,658.58 = 412.17/x
  3. Step 3: Cross multiply
    1,105.73x = 1,658.58 × 412.17
  4. Step 4: Simplify right side
    1,105.73x = 683,609.15
  5. Step 5: Solve for x
    x = 683,609.15/1,105.73
  6. Step 6: Final answer
    x = 618.24

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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.