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Finding the Fourth Proportional to 828.72, 1,143.63 and 497.23

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Solution

The fourth proportional to 828.72, 1,143.63 and 497.23 is: 686.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.72 : 1,143.63 = 497.23 : x
  2. Step 2: Convert to fraction form
    828.72/1,143.63 = 497.23/x
  3. Step 3: Cross multiply
    828.72x = 1,143.63 × 497.23
  4. Step 4: Simplify right side
    828.72x = 568,647.14
  5. Step 5: Solve for x
    x = 568,647.14/828.72
  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.