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Finding the Fourth Proportional to 968.30, 1,336.27 and 595.49

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Solution

The fourth proportional to 968.30, 1,336.27 and 595.49 is: 821.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.30 : 1,336.27 = 595.49 : x
  2. Step 2: Convert to fraction form
    968.30/1,336.27 = 595.49/x
  3. Step 3: Cross multiply
    968.30x = 1,336.27 × 595.49
  4. Step 4: Simplify right side
    968.30x = 795,727.25
  5. Step 5: Solve for x
    x = 795,727.25/968.30
  6. Step 6: Final answer
    x = 821.78

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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.