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Finding the Fourth Proportional to 968.64, 1,336.92 and 595.80

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Solution

The fourth proportional to 968.64, 1,336.92 and 595.80 is: 822.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.64 : 1,336.92 = 595.80 : x
  2. Step 2: Convert to fraction form
    968.64/1,336.92 = 595.80/x
  3. Step 3: Cross multiply
    968.64x = 1,336.92 × 595.80
  4. Step 4: Simplify right side
    968.64x = 796,536.94
  5. Step 5: Solve for x
    x = 796,536.94/968.64
  6. Step 6: Final answer
    x = 822.33

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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.