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Finding the Fourth Proportional to 1,226.34, 1,840.01 and 787.83

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Solution

The fourth proportional to 1,226.34, 1,840.01 and 787.83 is: 1,182.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.34 : 1,840.01 = 787.83 : x
  2. Step 2: Convert to fraction form
    1,226.34/1,840.01 = 787.83/x
  3. Step 3: Cross multiply
    1,226.34x = 1,840.01 × 787.83
  4. Step 4: Simplify right side
    1,226.34x = 1,449,611.14
  5. Step 5: Solve for x
    x = 1,449,611.14/1,226.34
  6. Step 6: Final answer
    x = 1,182.06

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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.