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Finding the Fourth Proportional to 828.22, 1,142.91 and 496.69

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Solution

The fourth proportional to 828.22, 1,142.91 and 496.69 is: 685.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.22 : 1,142.91 = 496.69 : x
  2. Step 2: Convert to fraction form
    828.22/1,142.91 = 496.69/x
  3. Step 3: Cross multiply
    828.22x = 1,142.91 × 496.69
  4. Step 4: Simplify right side
    828.22x = 567,671.97
  5. Step 5: Solve for x
    x = 567,671.97/828.22
  6. Step 6: Final answer
    x = 685.41

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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.