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Finding the Fourth Proportional to 961.20, 1,440.36 and 473.58

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Solution

The fourth proportional to 961.20, 1,440.36 and 473.58 is: 709.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.20 : 1,440.36 = 473.58 : x
  2. Step 2: Convert to fraction form
    961.20/1,440.36 = 473.58/x
  3. Step 3: Cross multiply
    961.20x = 1,440.36 × 473.58
  4. Step 4: Simplify right side
    961.20x = 682,125.69
  5. Step 5: Solve for x
    x = 682,125.69/961.20
  6. Step 6: Final answer
    x = 709.66

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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.