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Finding the Fourth Proportional to 852.84, 1,278.37 and 578.95

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Solution

The fourth proportional to 852.84, 1,278.37 and 578.95 is: 867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.84 : 1,278.37 = 578.95 : x
  2. Step 2: Convert to fraction form
    852.84/1,278.37 = 578.95/x
  3. Step 3: Cross multiply
    852.84x = 1,278.37 × 578.95
  4. Step 4: Simplify right side
    852.84x = 740,112.31
  5. Step 5: Solve for x
    x = 740,112.31/852.84
  6. Step 6: Final answer
    x = 867.82

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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.