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Finding the Fourth Proportional to 794.40, 1,096.26 and 462.78

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Solution

The fourth proportional to 794.40, 1,096.26 and 462.78 is: 638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.40 : 1,096.26 = 462.78 : x
  2. Step 2: Convert to fraction form
    794.40/1,096.26 = 462.78/x
  3. Step 3: Cross multiply
    794.40x = 1,096.26 × 462.78
  4. Step 4: Simplify right side
    794.40x = 507,327.20
  5. Step 5: Solve for x
    x = 507,327.20/794.40
  6. Step 6: Final answer
    x = 638.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.