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Finding the Fourth Proportional to 961.83, 1,442.88 and 474.75

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Solution

The fourth proportional to 961.83, 1,442.88 and 474.75 is: 712.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.83 : 1,442.88 = 474.75 : x
  2. Step 2: Convert to fraction form
    961.83/1,442.88 = 474.75/x
  3. Step 3: Cross multiply
    961.83x = 1,442.88 × 474.75
  4. Step 4: Simplify right side
    961.83x = 685,007.28
  5. Step 5: Solve for x
    x = 685,007.28/961.83
  6. Step 6: Final answer
    x = 712.19

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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.