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Finding the Fourth Proportional to 695.66, 959.69 and 459.54

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Solution

The fourth proportional to 695.66, 959.69 and 459.54 is: 633.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.66 : 959.69 = 459.54 : x
  2. Step 2: Convert to fraction form
    695.66/959.69 = 459.54/x
  3. Step 3: Cross multiply
    695.66x = 959.69 × 459.54
  4. Step 4: Simplify right side
    695.66x = 441,017.09
  5. Step 5: Solve for x
    x = 441,017.09/695.66
  6. Step 6: Final answer
    x = 633.96

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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.