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Finding the Fourth Proportional to 794.35, 1,096.14 and 462.79

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Solution

The fourth proportional to 794.35, 1,096.14 and 462.79 is: 638.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.35 : 1,096.14 = 462.79 : x
  2. Step 2: Convert to fraction form
    794.35/1,096.14 = 462.79/x
  3. Step 3: Cross multiply
    794.35x = 1,096.14 × 462.79
  4. Step 4: Simplify right side
    794.35x = 507,282.63
  5. Step 5: Solve for x
    x = 507,282.63/794.35
  6. Step 6: Final answer
    x = 638.61

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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.