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Finding the Fourth Proportional to 687.81, 1,031.72 and 174.81

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Solution

The fourth proportional to 687.81, 1,031.72 and 174.81 is: 262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.81 : 1,031.72 = 174.81 : x
  2. Step 2: Convert to fraction form
    687.81/1,031.72 = 174.81/x
  3. Step 3: Cross multiply
    687.81x = 1,031.72 × 174.81
  4. Step 4: Simplify right side
    687.81x = 180,354.97
  5. Step 5: Solve for x
    x = 180,354.97/687.81
  6. Step 6: Final answer
    x = 262.22

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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.