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Finding the Fourth Proportional to 961.10, 1,440.45 and 412.65

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Solution

The fourth proportional to 961.10, 1,440.45 and 412.65 is: 618.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.10 : 1,440.45 = 412.65 : x
  2. Step 2: Convert to fraction form
    961.10/1,440.45 = 412.65/x
  3. Step 3: Cross multiply
    961.10x = 1,440.45 × 412.65
  4. Step 4: Simplify right side
    961.10x = 594,401.69
  5. Step 5: Solve for x
    x = 594,401.69/961.10
  6. Step 6: Final answer
    x = 618.46

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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.