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Finding the Fourth Proportional to 969.19, 1,337.03 and 596.02

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Solution

The fourth proportional to 969.19, 1,337.03 and 596.02 is: 822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.19 : 1,337.03 = 596.02 : x
  2. Step 2: Convert to fraction form
    969.19/1,337.03 = 596.02/x
  3. Step 3: Cross multiply
    969.19x = 1,337.03 × 596.02
  4. Step 4: Simplify right side
    969.19x = 796,896.62
  5. Step 5: Solve for x
    x = 796,896.62/969.19
  6. Step 6: Final answer
    x = 822.23

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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.