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Finding the Fourth Proportional to 687.77, 1,031.84 and 200.83

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Solution

The fourth proportional to 687.77, 1,031.84 and 200.83 is: 301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.77 : 1,031.84 = 200.83 : x
  2. Step 2: Convert to fraction form
    687.77/1,031.84 = 200.83/x
  3. Step 3: Cross multiply
    687.77x = 1,031.84 × 200.83
  4. Step 4: Simplify right side
    687.77x = 207,218.26
  5. Step 5: Solve for x
    x = 207,218.26/687.77
  6. Step 6: Final answer
    x = 301.29

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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.