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Finding the Fourth Proportional to 795.75, 1,193.61 and 268.70

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Solution

The fourth proportional to 795.75, 1,193.61 and 268.70 is: 403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.75 : 1,193.61 = 268.70 : x
  2. Step 2: Convert to fraction form
    795.75/1,193.61 = 268.70/x
  3. Step 3: Cross multiply
    795.75x = 1,193.61 × 268.70
  4. Step 4: Simplify right side
    795.75x = 320,717.04
  5. Step 5: Solve for x
    x = 320,717.04/795.75
  6. Step 6: Final answer
    x = 403.04

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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.