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Finding the Fourth Proportional to 687.65, 1,031.36 and 200.59

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Solution

The fourth proportional to 687.65, 1,031.36 and 200.59 is: 300.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.65 : 1,031.36 = 200.59 : x
  2. Step 2: Convert to fraction form
    687.65/1,031.36 = 200.59/x
  3. Step 3: Cross multiply
    687.65x = 1,031.36 × 200.59
  4. Step 4: Simplify right side
    687.65x = 206,875.85
  5. Step 5: Solve for x
    x = 206,875.85/687.65
  6. Step 6: Final answer
    x = 300.84

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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.