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Finding the Fourth Proportional to 687.08, 1,030.21 and 321.95

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Solution

The fourth proportional to 687.08, 1,030.21 and 321.95 is: 482.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.08 : 1,030.21 = 321.95 : x
  2. Step 2: Convert to fraction form
    687.08/1,030.21 = 321.95/x
  3. Step 3: Cross multiply
    687.08x = 1,030.21 × 321.95
  4. Step 4: Simplify right side
    687.08x = 331,676.11
  5. Step 5: Solve for x
    x = 331,676.11/687.08
  6. Step 6: Final answer
    x = 482.73

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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.