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Finding the Fourth Proportional to 695.56, 959.97 and 400.82

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Solution

The fourth proportional to 695.56, 959.97 and 400.82 is: 553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.56 : 959.97 = 400.82 : x
  2. Step 2: Convert to fraction form
    695.56/959.97 = 400.82/x
  3. Step 3: Cross multiply
    695.56x = 959.97 × 400.82
  4. Step 4: Simplify right side
    695.56x = 384,775.18
  5. Step 5: Solve for x
    x = 384,775.18/695.56
  6. Step 6: Final answer
    x = 553.19

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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.