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Finding the Fourth Proportional to 789.78, 1,088.62 and 695.92

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Solution

The fourth proportional to 789.78, 1,088.62 and 695.92 is: 959.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.78 : 1,088.62 = 695.92 : x
  2. Step 2: Convert to fraction form
    789.78/1,088.62 = 695.92/x
  3. Step 3: Cross multiply
    789.78x = 1,088.62 × 695.92
  4. Step 4: Simplify right side
    789.78x = 757,592.43
  5. Step 5: Solve for x
    x = 757,592.43/789.78
  6. Step 6: Final answer
    x = 959.24

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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.