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Finding the Fourth Proportional to 793.32, 1,189.23 and 402.76

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Solution

The fourth proportional to 793.32, 1,189.23 and 402.76 is: 603.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.32 : 1,189.23 = 402.76 : x
  2. Step 2: Convert to fraction form
    793.32/1,189.23 = 402.76/x
  3. Step 3: Cross multiply
    793.32x = 1,189.23 × 402.76
  4. Step 4: Simplify right side
    793.32x = 478,974.27
  5. Step 5: Solve for x
    x = 478,974.27/793.32
  6. Step 6: Final answer
    x = 603.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.