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Finding the Fourth Proportional to 687.43, 1,026.14 and 636.67

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Solution

The fourth proportional to 687.43, 1,026.14 and 636.67 is: 950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.43 : 1,026.14 = 636.67 : x
  2. Step 2: Convert to fraction form
    687.43/1,026.14 = 636.67/x
  3. Step 3: Cross multiply
    687.43x = 1,026.14 × 636.67
  4. Step 4: Simplify right side
    687.43x = 653,311.58
  5. Step 5: Solve for x
    x = 653,311.58/687.43
  6. Step 6: Final answer
    x = 950.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.