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Finding the Fourth Proportional to 649.31, 969.25 and 601.13

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Solution

The fourth proportional to 649.31, 969.25 and 601.13 is: 897.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.31 : 969.25 = 601.13 : x
  2. Step 2: Convert to fraction form
    649.31/969.25 = 601.13/x
  3. Step 3: Cross multiply
    649.31x = 969.25 × 601.13
  4. Step 4: Simplify right side
    649.31x = 582,645.25
  5. Step 5: Solve for x
    x = 582,645.25/649.31
  6. Step 6: Final answer
    x = 897.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.