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Finding the Fourth Proportional to 695.94, 960.56 and 459.93

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Solution

The fourth proportional to 695.94, 960.56 and 459.93 is: 634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.94 : 960.56 = 459.93 : x
  2. Step 2: Convert to fraction form
    695.94/960.56 = 459.93/x
  3. Step 3: Cross multiply
    695.94x = 960.56 × 459.93
  4. Step 4: Simplify right side
    695.94x = 441,785.11
  5. Step 5: Solve for x
    x = 441,785.11/695.94
  6. Step 6: Final answer
    x = 634.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.