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Finding the Fourth Proportional to 687.46, 1,030.82 and 321.92

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Solution

The fourth proportional to 687.46, 1,030.82 and 321.92 is: 482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.46 : 1,030.82 = 321.92 : x
  2. Step 2: Convert to fraction form
    687.46/1,030.82 = 321.92/x
  3. Step 3: Cross multiply
    687.46x = 1,030.82 × 321.92
  4. Step 4: Simplify right side
    687.46x = 331,841.57
  5. Step 5: Solve for x
    x = 331,841.57/687.46
  6. Step 6: Final answer
    x = 482.71

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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.