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Finding the Fourth Proportional to 828.38, 1,143.11 and 496.74

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Solution

The fourth proportional to 828.38, 1,143.11 and 496.74 is: 685.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.38 : 1,143.11 = 496.74 : x
  2. Step 2: Convert to fraction form
    828.38/1,143.11 = 496.74/x
  3. Step 3: Cross multiply
    828.38x = 1,143.11 × 496.74
  4. Step 4: Simplify right side
    828.38x = 567,829.70
  5. Step 5: Solve for x
    x = 567,829.70/828.38
  6. Step 6: Final answer
    x = 685.47

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Half scale
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Double 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.