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Finding the Fourth Proportional to 891.92, 1,334.88 and 857.84

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Solution

The fourth proportional to 891.92, 1,334.88 and 857.84 is: 1,283.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.92 : 1,334.88 = 857.84 : x
  2. Step 2: Convert to fraction form
    891.92/1,334.88 = 857.84/x
  3. Step 3: Cross multiply
    891.92x = 1,334.88 × 857.84
  4. Step 4: Simplify right side
    891.92x = 1,145,113.46
  5. Step 5: Solve for x
    x = 1,145,113.46/891.92
  6. Step 6: Final answer
    x = 1,283.87

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Why These Related Problems?

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