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Finding the Fourth Proportional to 1,262.56, 1,889.80 and 676.10

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Solution

The fourth proportional to 1,262.56, 1,889.80 and 676.10 is: 1,011.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.56 : 1,889.80 = 676.10 : x
  2. Step 2: Convert to fraction form
    1,262.56/1,889.80 = 676.10/x
  3. Step 3: Cross multiply
    1,262.56x = 1,889.80 × 676.10
  4. Step 4: Simplify right side
    1,262.56x = 1,277,693.78
  5. Step 5: Solve for x
    x = 1,277,693.78/1,262.56
  6. Step 6: Final answer
    x = 1,011.99

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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.