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Finding the Fourth Proportional to 793.61, 1,092.77 and 703.80

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Solution

The fourth proportional to 793.61, 1,092.77 and 703.80 is: 969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.61 : 1,092.77 = 703.80 : x
  2. Step 2: Convert to fraction form
    793.61/1,092.77 = 703.80/x
  3. Step 3: Cross multiply
    793.61x = 1,092.77 × 703.80
  4. Step 4: Simplify right side
    793.61x = 769,090.65
  5. Step 5: Solve for x
    x = 769,090.65/793.61
  6. Step 6: Final answer
    x = 969.11

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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.