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Finding the Fourth Proportional to 828.69, 1,143.27 and 497.13

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Solution

The fourth proportional to 828.69, 1,143.27 and 497.13 is: 685.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.69 : 1,143.27 = 497.13 : x
  2. Step 2: Convert to fraction form
    828.69/1,143.27 = 497.13/x
  3. Step 3: Cross multiply
    828.69x = 1,143.27 × 497.13
  4. Step 4: Simplify right side
    828.69x = 568,353.82
  5. Step 5: Solve for x
    x = 568,353.82/828.69
  6. Step 6: Final answer
    x = 685.85

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Double scale
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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.