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Finding the Fourth Proportional to 1,068.80, 1,601.78 and 548.78

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Solution

The fourth proportional to 1,068.80, 1,601.78 and 548.78 is: 822.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.80 : 1,601.78 = 548.78 : x
  2. Step 2: Convert to fraction form
    1,068.80/1,601.78 = 548.78/x
  3. Step 3: Cross multiply
    1,068.80x = 1,601.78 × 548.78
  4. Step 4: Simplify right side
    1,068.80x = 879,014.08
  5. Step 5: Solve for x
    x = 879,014.08/1,068.80
  6. Step 6: Final answer
    x = 822.43

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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.