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Finding the Fourth Proportional to 695.39, 1,040.95 and 596.97

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Solution

The fourth proportional to 695.39, 1,040.95 and 596.97 is: 893.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.39 : 1,040.95 = 596.97 : x
  2. Step 2: Convert to fraction form
    695.39/1,040.95 = 596.97/x
  3. Step 3: Cross multiply
    695.39x = 1,040.95 × 596.97
  4. Step 4: Simplify right side
    695.39x = 621,416.67
  5. Step 5: Solve for x
    x = 621,416.67/695.39
  6. Step 6: Final answer
    x = 893.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.