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Finding the Fourth Proportional to 794.31, 1,096.13 and 462.71

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Solution

The fourth proportional to 794.31, 1,096.13 and 462.71 is: 638.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.31 : 1,096.13 = 462.71 : x
  2. Step 2: Convert to fraction form
    794.31/1,096.13 = 462.71/x
  3. Step 3: Cross multiply
    794.31x = 1,096.13 × 462.71
  4. Step 4: Simplify right side
    794.31x = 507,190.31
  5. Step 5: Solve for x
    x = 507,190.31/794.31
  6. Step 6: Final answer
    x = 638.53

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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.