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Finding the Fourth Proportional to 961.38, 1,442.97 and 499.49

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Solution

The fourth proportional to 961.38, 1,442.97 and 499.49 is: 749.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.38 : 1,442.97 = 499.49 : x
  2. Step 2: Convert to fraction form
    961.38/1,442.97 = 499.49/x
  3. Step 3: Cross multiply
    961.38x = 1,442.97 × 499.49
  4. Step 4: Simplify right side
    961.38x = 720,744.63
  5. Step 5: Solve for x
    x = 720,744.63/961.38
  6. Step 6: Final answer
    x = 749.70

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Double scale
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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.