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Finding the Fourth Proportional to 891.87, 1,232.63 and 783.82

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Solution

The fourth proportional to 891.87, 1,232.63 and 783.82 is: 1,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.87 : 1,232.63 = 783.82 : x
  2. Step 2: Convert to fraction form
    891.87/1,232.63 = 783.82/x
  3. Step 3: Cross multiply
    891.87x = 1,232.63 × 783.82
  4. Step 4: Simplify right side
    891.87x = 966,160.05
  5. Step 5: Solve for x
    x = 966,160.05/891.87
  6. Step 6: Final answer
    x = 1,083.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.