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Finding the Fourth Proportional to 828.59, 1,143.54 and 497.22

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Solution

The fourth proportional to 828.59, 1,143.54 and 497.22 is: 686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.59 : 1,143.54 = 497.22 : x
  2. Step 2: Convert to fraction form
    828.59/1,143.54 = 497.22/x
  3. Step 3: Cross multiply
    828.59x = 1,143.54 × 497.22
  4. Step 4: Simplify right side
    828.59x = 568,590.96
  5. Step 5: Solve for x
    x = 568,590.96/828.59
  6. Step 6: Final answer
    x = 686.22

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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.