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Finding the Fourth Proportional to 961.24, 1,322.54 and 848.76

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Solution

The fourth proportional to 961.24, 1,322.54 and 848.76 is: 1,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    961.24 : 1,322.54 = 848.76 : x
  2. Step 2: Convert to fraction form
    961.24/1,322.54 = 848.76/x
  3. Step 3: Cross multiply
    961.24x = 1,322.54 × 848.76
  4. Step 4: Simplify right side
    961.24x = 1,122,519.05
  5. Step 5: Solve for x
    x = 1,122,519.05/961.24
  6. Step 6: Final answer
    x = 1,167.78

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.