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Finding the Fourth Proportional to 961.94, 1,443.18 and 474.86

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Solution

The fourth proportional to 961.94, 1,443.18 and 474.86 is: 712.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.94 : 1,443.18 = 474.86 : x
  2. Step 2: Convert to fraction form
    961.94/1,443.18 = 474.86/x
  3. Step 3: Cross multiply
    961.94x = 1,443.18 × 474.86
  4. Step 4: Simplify right side
    961.94x = 685,308.45
  5. Step 5: Solve for x
    x = 685,308.45/961.94
  6. Step 6: Final answer
    x = 712.42

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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.