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Finding the Fourth Proportional to 1,226.79, 1,840.70 and 788.28

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Solution

The fourth proportional to 1,226.79, 1,840.70 and 788.28 is: 1,182.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226.79 : 1,840.70 = 788.28 : x
  2. Step 2: Convert to fraction form
    1,226.79/1,840.70 = 788.28/x
  3. Step 3: Cross multiply
    1,226.79x = 1,840.70 × 788.28
  4. Step 4: Simplify right side
    1,226.79x = 1,450,977.79
  5. Step 5: Solve for x
    x = 1,450,977.79/1,226.79
  6. Step 6: Final answer
    x = 1,182.74

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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.