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Finding the Fourth Proportional to 695.75, 959.31 and 585.05

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Solution

The fourth proportional to 695.75, 959.31 and 585.05 is: 806.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.75 : 959.31 = 585.05 : x
  2. Step 2: Convert to fraction form
    695.75/959.31 = 585.05/x
  3. Step 3: Cross multiply
    695.75x = 959.31 × 585.05
  4. Step 4: Simplify right side
    695.75x = 561,239.52
  5. Step 5: Solve for x
    x = 561,239.52/695.75
  6. Step 6: Final answer
    x = 806.67

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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.