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Finding the Fourth Proportional to 693.15, 1,040.37 and 462.20

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Solution

The fourth proportional to 693.15, 1,040.37 and 462.20 is: 693.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.15 : 1,040.37 = 462.20 : x
  2. Step 2: Convert to fraction form
    693.15/1,040.37 = 462.20/x
  3. Step 3: Cross multiply
    693.15x = 1,040.37 × 462.20
  4. Step 4: Simplify right side
    693.15x = 480,859.01
  5. Step 5: Solve for x
    x = 480,859.01/693.15
  6. Step 6: Final answer
    x = 693.73

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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.