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Finding the Fourth Proportional to 1,787.98, 2,682.23 and 555.49

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Solution

The fourth proportional to 1,787.98, 2,682.23 and 555.49 is: 833.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.98 : 2,682.23 = 555.49 : x
  2. Step 2: Convert to fraction form
    1,787.98/2,682.23 = 555.49/x
  3. Step 3: Cross multiply
    1,787.98x = 2,682.23 × 555.49
  4. Step 4: Simplify right side
    1,787.98x = 1,489,951.94
  5. Step 5: Solve for x
    x = 1,489,951.94/1,787.98
  6. Step 6: Final answer
    x = 833.32

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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.