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Finding the Fourth Proportional to 695.74, 959.85 and 459.73

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Solution

The fourth proportional to 695.74, 959.85 and 459.73 is: 634.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.74 : 959.85 = 459.73 : x
  2. Step 2: Convert to fraction form
    695.74/959.85 = 459.73/x
  3. Step 3: Cross multiply
    695.74x = 959.85 × 459.73
  4. Step 4: Simplify right side
    695.74x = 441,267.64
  5. Step 5: Solve for x
    x = 441,267.64/695.74
  6. Step 6: Final answer
    x = 634.24

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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.