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Finding the Fourth Proportional to 828.74, 1,143.51 and 497.30

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Solution

The fourth proportional to 828.74, 1,143.51 and 497.30 is: 686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.74 : 1,143.51 = 497.30 : x
  2. Step 2: Convert to fraction form
    828.74/1,143.51 = 497.30/x
  3. Step 3: Cross multiply
    828.74x = 1,143.51 × 497.30
  4. Step 4: Simplify right side
    828.74x = 568,667.52
  5. Step 5: Solve for x
    x = 568,667.52/828.74
  6. Step 6: Final answer
    x = 686.18

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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.