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Finding the Fourth Proportional to 687.34, 1,031.11 and 444.95

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Solution

The fourth proportional to 687.34, 1,031.11 and 444.95 is: 667.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.34 : 1,031.11 = 444.95 : x
  2. Step 2: Convert to fraction form
    687.34/1,031.11 = 444.95/x
  3. Step 3: Cross multiply
    687.34x = 1,031.11 × 444.95
  4. Step 4: Simplify right side
    687.34x = 458,786.13
  5. Step 5: Solve for x
    x = 458,786.13/687.34
  6. Step 6: Final answer
    x = 667.48

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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.