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Finding the Fourth Proportional to 794.35, 1,096.21 and 462.98

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Solution

The fourth proportional to 794.35, 1,096.21 and 462.98 is: 638.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.35 : 1,096.21 = 462.98 : x
  2. Step 2: Convert to fraction form
    794.35/1,096.21 = 462.98/x
  3. Step 3: Cross multiply
    794.35x = 1,096.21 × 462.98
  4. Step 4: Simplify right side
    794.35x = 507,516.67
  5. Step 5: Solve for x
    x = 507,516.67/794.35
  6. Step 6: Final answer
    x = 638.91

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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.