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Finding the Fourth Proportional to 1,226.88, 1,840 and 456.96

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Solution

The fourth proportional to 1,226.88, 1,840 and 456.96 is: 685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.88 : 1,840 = 456.96 : x
  2. Step 2: Convert to fraction form
    1,226.88/1,840 = 456.96/x
  3. Step 3: Cross multiply
    1,226.88x = 1,840 × 456.96
  4. Step 4: Simplify right side
    1,226.88x = 840,806.40
  5. Step 5: Solve for x
    x = 840,806.40/1,226.88
  6. Step 6: Final answer
    x = 685.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.