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Finding the Fourth Proportional to 756.92, 1,043.52 and 580

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Solution

The fourth proportional to 756.92, 1,043.52 and 580 is: 799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.92 : 1,043.52 = 580 : x
  2. Step 2: Convert to fraction form
    756.92/1,043.52 = 580/x
  3. Step 3: Cross multiply
    756.92x = 1,043.52 × 580
  4. Step 4: Simplify right side
    756.92x = 605,241.60
  5. Step 5: Solve for x
    x = 605,241.60/756.92
  6. Step 6: Final answer
    x = 799.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.