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Finding the Fourth Proportional to 1,226.25, 1,840.19 and 456.75

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Solution

The fourth proportional to 1,226.25, 1,840.19 and 456.75 is: 685.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.25 : 1,840.19 = 456.75 : x
  2. Step 2: Convert to fraction form
    1,226.25/1,840.19 = 456.75/x
  3. Step 3: Cross multiply
    1,226.25x = 1,840.19 × 456.75
  4. Step 4: Simplify right side
    1,226.25x = 840,504.50
  5. Step 5: Solve for x
    x = 840,504.50/1,226.25
  6. Step 6: Final answer
    x = 685.43

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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.