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Finding the Fourth Proportional to 695.72, 960.04 and 401.01

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Solution

The fourth proportional to 695.72, 960.04 and 401.01 is: 553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.72 : 960.04 = 401.01 : x
  2. Step 2: Convert to fraction form
    695.72/960.04 = 401.01/x
  3. Step 3: Cross multiply
    695.72x = 960.04 × 401.01
  4. Step 4: Simplify right side
    695.72x = 384,983.64
  5. Step 5: Solve for x
    x = 384,983.64/695.72
  6. Step 6: Final answer
    x = 553.36

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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.