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Finding the Fourth Proportional to 1,260.87, 1,890.84 and 772.44

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Solution

The fourth proportional to 1,260.87, 1,890.84 and 772.44 is: 1,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.87 : 1,890.84 = 772.44 : x
  2. Step 2: Convert to fraction form
    1,260.87/1,890.84 = 772.44/x
  3. Step 3: Cross multiply
    1,260.87x = 1,890.84 × 772.44
  4. Step 4: Simplify right side
    1,260.87x = 1,460,556.26
  5. Step 5: Solve for x
    x = 1,460,556.26/1,260.87
  6. Step 6: Final answer
    x = 1,158.38

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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.