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Finding the Fourth Proportional to 687.90, 1,031.51 and 200.82

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Solution

The fourth proportional to 687.90, 1,031.51 and 200.82 is: 301.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.90 : 1,031.51 = 200.82 : x
  2. Step 2: Convert to fraction form
    687.90/1,031.51 = 200.82/x
  3. Step 3: Cross multiply
    687.90x = 1,031.51 × 200.82
  4. Step 4: Simplify right side
    687.90x = 207,146.83
  5. Step 5: Solve for x
    x = 207,146.83/687.90
  6. Step 6: Final answer
    x = 301.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.