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Finding the Fourth Proportional to 884.80, 1,221.24 and 826.48

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Solution

The fourth proportional to 884.80, 1,221.24 and 826.48 is: 1,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.80 : 1,221.24 = 826.48 : x
  2. Step 2: Convert to fraction form
    884.80/1,221.24 = 826.48/x
  3. Step 3: Cross multiply
    884.80x = 1,221.24 × 826.48
  4. Step 4: Simplify right side
    884.80x = 1,009,330.44
  5. Step 5: Solve for x
    x = 1,009,330.44/884.80
  6. Step 6: Final answer
    x = 1,140.74

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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.