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Finding the Fourth Proportional to 794.33, 1,096.08 and 462.68

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Solution

The fourth proportional to 794.33, 1,096.08 and 462.68 is: 638.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.33 : 1,096.08 = 462.68 : x
  2. Step 2: Convert to fraction form
    794.33/1,096.08 = 462.68/x
  3. Step 3: Cross multiply
    794.33x = 1,096.08 × 462.68
  4. Step 4: Simplify right side
    794.33x = 507,138.19
  5. Step 5: Solve for x
    x = 507,138.19/794.33
  6. Step 6: Final answer
    x = 638.45

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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.