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Finding the Fourth Proportional to 766.74, 1,059.65 and 580.17

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Solution

The fourth proportional to 766.74, 1,059.65 and 580.17 is: 801.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.74 : 1,059.65 = 580.17 : x
  2. Step 2: Convert to fraction form
    766.74/1,059.65 = 580.17/x
  3. Step 3: Cross multiply
    766.74x = 1,059.65 × 580.17
  4. Step 4: Simplify right side
    766.74x = 614,777.14
  5. Step 5: Solve for x
    x = 614,777.14/766.74
  6. Step 6: Final answer
    x = 801.81

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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.