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Finding the Fourth Proportional to 687.86, 1,031.83 and 194.31

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Solution

The fourth proportional to 687.86, 1,031.83 and 194.31 is: 291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.86 : 1,031.83 = 194.31 : x
  2. Step 2: Convert to fraction form
    687.86/1,031.83 = 194.31/x
  3. Step 3: Cross multiply
    687.86x = 1,031.83 × 194.31
  4. Step 4: Simplify right side
    687.86x = 200,491.81
  5. Step 5: Solve for x
    x = 200,491.81/687.86
  6. Step 6: Final answer
    x = 291.47

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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.