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Finding the Fourth Proportional to 794.59, 1,096.17 and 462.82

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Solution

The fourth proportional to 794.59, 1,096.17 and 462.82 is: 638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.59 : 1,096.17 = 462.82 : x
  2. Step 2: Convert to fraction form
    794.59/1,096.17 = 462.82/x
  3. Step 3: Cross multiply
    794.59x = 1,096.17 × 462.82
  4. Step 4: Simplify right side
    794.59x = 507,329.40
  5. Step 5: Solve for x
    x = 507,329.40/794.59
  6. Step 6: Final answer
    x = 638.48

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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.