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Finding the Fourth Proportional to 968.97, 1,336.75 and 595.92

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Solution

The fourth proportional to 968.97, 1,336.75 and 595.92 is: 822.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.97 : 1,336.75 = 595.92 : x
  2. Step 2: Convert to fraction form
    968.97/1,336.75 = 595.92/x
  3. Step 3: Cross multiply
    968.97x = 1,336.75 × 595.92
  4. Step 4: Simplify right side
    968.97x = 796,596.06
  5. Step 5: Solve for x
    x = 796,596.06/968.97
  6. Step 6: Final answer
    x = 822.11

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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.