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Finding the Fourth Proportional to 794.37, 1,096.16 and 462.68

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Solution

The fourth proportional to 794.37, 1,096.16 and 462.68 is: 638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.37 : 1,096.16 = 462.68 : x
  2. Step 2: Convert to fraction form
    794.37/1,096.16 = 462.68/x
  3. Step 3: Cross multiply
    794.37x = 1,096.16 × 462.68
  4. Step 4: Simplify right side
    794.37x = 507,171.31
  5. Step 5: Solve for x
    x = 507,171.31/794.37
  6. Step 6: Final answer
    x = 638.46

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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.