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Finding the Fourth Proportional to 828.81, 1,143.50 and 497.12

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Solution

The fourth proportional to 828.81, 1,143.50 and 497.12 is: 685.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.81 : 1,143.50 = 497.12 : x
  2. Step 2: Convert to fraction form
    828.81/1,143.50 = 497.12/x
  3. Step 3: Cross multiply
    828.81x = 1,143.50 × 497.12
  4. Step 4: Simplify right side
    828.81x = 568,452.25
  5. Step 5: Solve for x
    x = 568,452.25/828.81
  6. Step 6: Final answer
    x = 685.87

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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.