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Finding the Fourth Proportional to 769.94, 1,061.27 and 601.59

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Solution

The fourth proportional to 769.94, 1,061.27 and 601.59 is: 829.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.94 : 1,061.27 = 601.59 : x
  2. Step 2: Convert to fraction form
    769.94/1,061.27 = 601.59/x
  3. Step 3: Cross multiply
    769.94x = 1,061.27 × 601.59
  4. Step 4: Simplify right side
    769.94x = 638,451.95
  5. Step 5: Solve for x
    x = 638,451.95/769.94
  6. Step 6: Final answer
    x = 829.23

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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.