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Finding the Fourth Proportional to 695.79, 959.94 and 401.13

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Solution

The fourth proportional to 695.79, 959.94 and 401.13 is: 553.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.79 : 959.94 = 401.13 : x
  2. Step 2: Convert to fraction form
    695.79/959.94 = 401.13/x
  3. Step 3: Cross multiply
    695.79x = 959.94 × 401.13
  4. Step 4: Simplify right side
    695.79x = 385,060.73
  5. Step 5: Solve for x
    x = 385,060.73/695.79
  6. Step 6: Final answer
    x = 553.42

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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.