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Finding the Fourth Proportional to 794.27, 1,096.08 and 462.72

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Solution

The fourth proportional to 794.27, 1,096.08 and 462.72 is: 638.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    794.27 : 1,096.08 = 462.72 : x
  2. Step 2: Convert to fraction form
    794.27/1,096.08 = 462.72/x
  3. Step 3: Cross multiply
    794.27x = 1,096.08 × 462.72
  4. Step 4: Simplify right side
    794.27x = 507,178.14
  5. Step 5: Solve for x
    x = 507,178.14/794.27
  6. Step 6: Final answer
    x = 638.55

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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.