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Finding the Fourth Proportional to 969.37, 1,338.06 and 596.37

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Solution

The fourth proportional to 969.37, 1,338.06 and 596.37 is: 823.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.37 : 1,338.06 = 596.37 : x
  2. Step 2: Convert to fraction form
    969.37/1,338.06 = 596.37/x
  3. Step 3: Cross multiply
    969.37x = 1,338.06 × 596.37
  4. Step 4: Simplify right side
    969.37x = 797,978.84
  5. Step 5: Solve for x
    x = 797,978.84/969.37
  6. Step 6: Final answer
    x = 823.19

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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.