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Finding the Fourth Proportional to 793.06, 1,182.45 and 765.89

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Solution

The fourth proportional to 793.06, 1,182.45 and 765.89 is: 1,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.06 : 1,182.45 = 765.89 : x
  2. Step 2: Convert to fraction form
    793.06/1,182.45 = 765.89/x
  3. Step 3: Cross multiply
    793.06x = 1,182.45 × 765.89
  4. Step 4: Simplify right side
    793.06x = 905,626.63
  5. Step 5: Solve for x
    x = 905,626.63/793.06
  6. Step 6: Final answer
    x = 1,141.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.