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Finding the Fourth Proportional to 828.48, 1,142.92 and 496.33

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Solution

The fourth proportional to 828.48, 1,142.92 and 496.33 is: 684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.48 : 1,142.92 = 496.33 : x
  2. Step 2: Convert to fraction form
    828.48/1,142.92 = 496.33/x
  3. Step 3: Cross multiply
    828.48x = 1,142.92 × 496.33
  4. Step 4: Simplify right side
    828.48x = 567,260.80
  5. Step 5: Solve for x
    x = 567,260.80/828.48
  6. Step 6: Final answer
    x = 684.70

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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.