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Finding the Fourth Proportional to 961.88, 1,442.74 and 499.52

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Solution

The fourth proportional to 961.88, 1,442.74 and 499.52 is: 749.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.88 : 1,442.74 = 499.52 : x
  2. Step 2: Convert to fraction form
    961.88/1,442.74 = 499.52/x
  3. Step 3: Cross multiply
    961.88x = 1,442.74 × 499.52
  4. Step 4: Simplify right side
    961.88x = 720,677.48
  5. Step 5: Solve for x
    x = 720,677.48/961.88
  6. Step 6: Final answer
    x = 749.24

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Double scale
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1.5x scale

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.