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Finding the Fourth Proportional to 687.50, 1,028.66 and 482.48

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Solution

The fourth proportional to 687.50, 1,028.66 and 482.48 is: 721.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.50 : 1,028.66 = 482.48 : x
  2. Step 2: Convert to fraction form
    687.50/1,028.66 = 482.48/x
  3. Step 3: Cross multiply
    687.50x = 1,028.66 × 482.48
  4. Step 4: Simplify right side
    687.50x = 496,302.73
  5. Step 5: Solve for x
    x = 496,302.73/687.50
  6. Step 6: Final answer
    x = 721.89

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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.