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Finding the Fourth Proportional to 695.77, 959.45 and 596.53

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Solution

The fourth proportional to 695.77, 959.45 and 596.53 is: 822.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.77 : 959.45 = 596.53 : x
  2. Step 2: Convert to fraction form
    695.77/959.45 = 596.53/x
  3. Step 3: Cross multiply
    695.77x = 959.45 × 596.53
  4. Step 4: Simplify right side
    695.77x = 572,335.33
  5. Step 5: Solve for x
    x = 572,335.33/695.77
  6. Step 6: Final answer
    x = 822.60

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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.