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Finding the Fourth Proportional to 695.66, 960.06 and 400.84

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Solution

The fourth proportional to 695.66, 960.06 and 400.84 is: 553.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.66 : 960.06 = 400.84 : x
  2. Step 2: Convert to fraction form
    695.66/960.06 = 400.84/x
  3. Step 3: Cross multiply
    695.66x = 960.06 × 400.84
  4. Step 4: Simplify right side
    695.66x = 384,830.45
  5. Step 5: Solve for x
    x = 384,830.45/695.66
  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.