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Finding the Fourth Proportional to 1,260.24, 1,889.55 and 826.89

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Solution

The fourth proportional to 1,260.24, 1,889.55 and 826.89 is: 1,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.24 : 1,889.55 = 826.89 : x
  2. Step 2: Convert to fraction form
    1,260.24/1,889.55 = 826.89/x
  3. Step 3: Cross multiply
    1,260.24x = 1,889.55 × 826.89
  4. Step 4: Simplify right side
    1,260.24x = 1,562,450.00
  5. Step 5: Solve for x
    x = 1,562,450.00/1,260.24
  6. Step 6: Final answer
    x = 1,239.80

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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.