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Finding the Fourth Proportional to 1,449.94, 2,000.89 and 786.78

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Solution

The fourth proportional to 1,449.94, 2,000.89 and 786.78 is: 1,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.94 : 2,000.89 = 786.78 : x
  2. Step 2: Convert to fraction form
    1,449.94/2,000.89 = 786.78/x
  3. Step 3: Cross multiply
    1,449.94x = 2,000.89 × 786.78
  4. Step 4: Simplify right side
    1,449.94x = 1,574,260.23
  5. Step 5: Solve for x
    x = 1,574,260.23/1,449.94
  6. Step 6: Final answer
    x = 1,085.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.