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Finding the Fourth Proportional to 794.67, 1,096.48 and 462.93

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Solution

The fourth proportional to 794.67, 1,096.48 and 462.93 is: 638.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.67 : 1,096.48 = 462.93 : x
  2. Step 2: Convert to fraction form
    794.67/1,096.48 = 462.93/x
  3. Step 3: Cross multiply
    794.67x = 1,096.48 × 462.93
  4. Step 4: Simplify right side
    794.67x = 507,593.49
  5. Step 5: Solve for x
    x = 507,593.49/794.67
  6. Step 6: Final answer
    x = 638.75

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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.