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Finding the Fourth Proportional to 794.48, 1,096.42 and 462.88

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Solution

The fourth proportional to 794.48, 1,096.42 and 462.88 is: 638.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.48 : 1,096.42 = 462.88 : x
  2. Step 2: Convert to fraction form
    794.48/1,096.42 = 462.88/x
  3. Step 3: Cross multiply
    794.48x = 1,096.42 × 462.88
  4. Step 4: Simplify right side
    794.48x = 507,510.89
  5. Step 5: Solve for x
    x = 507,510.89/794.48
  6. Step 6: Final answer
    x = 638.80

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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.