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Finding the Fourth Proportional to 901.94, 1,245.29 and 565.97

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Solution

The fourth proportional to 901.94, 1,245.29 and 565.97 is: 781.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.94 : 1,245.29 = 565.97 : x
  2. Step 2: Convert to fraction form
    901.94/1,245.29 = 565.97/x
  3. Step 3: Cross multiply
    901.94x = 1,245.29 × 565.97
  4. Step 4: Simplify right side
    901.94x = 704,787.73
  5. Step 5: Solve for x
    x = 704,787.73/901.94
  6. Step 6: Final answer
    x = 781.42

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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.