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Finding the Fourth Proportional to 969.36, 1,337.52 and 596.40

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Solution

The fourth proportional to 969.36, 1,337.52 and 596.40 is: 822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.36 : 1,337.52 = 596.40 : x
  2. Step 2: Convert to fraction form
    969.36/1,337.52 = 596.40/x
  3. Step 3: Cross multiply
    969.36x = 1,337.52 × 596.40
  4. Step 4: Simplify right side
    969.36x = 797,696.93
  5. Step 5: Solve for x
    x = 797,696.93/969.36
  6. Step 6: Final answer
    x = 822.91

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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.