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Finding the Fourth Proportional to 693.37, 1,040.96 and 463.73

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Solution

The fourth proportional to 693.37, 1,040.96 and 463.73 is: 696.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.37 : 1,040.96 = 463.73 : x
  2. Step 2: Convert to fraction form
    693.37/1,040.96 = 463.73/x
  3. Step 3: Cross multiply
    693.37x = 1,040.96 × 463.73
  4. Step 4: Simplify right side
    693.37x = 482,722.06
  5. Step 5: Solve for x
    x = 482,722.06/693.37
  6. Step 6: Final answer
    x = 696.20

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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.