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Finding the Fourth Proportional to 855.57, 1,179.84 and 689.25

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Solution

The fourth proportional to 855.57, 1,179.84 and 689.25 is: 950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.57 : 1,179.84 = 689.25 : x
  2. Step 2: Convert to fraction form
    855.57/1,179.84 = 689.25/x
  3. Step 3: Cross multiply
    855.57x = 1,179.84 × 689.25
  4. Step 4: Simplify right side
    855.57x = 813,204.72
  5. Step 5: Solve for x
    x = 813,204.72/855.57
  6. Step 6: Final answer
    x = 950.48

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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.