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Finding the Fourth Proportional to 1,262.56, 1,740 and 912.64

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Solution

The fourth proportional to 1,262.56, 1,740 and 912.64 is: 1,257.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262.56 : 1,740 = 912.64 : x
  2. Step 2: Convert to fraction form
    1,262.56/1,740 = 912.64/x
  3. Step 3: Cross multiply
    1,262.56x = 1,740 × 912.64
  4. Step 4: Simplify right side
    1,262.56x = 1,587,993.60
  5. Step 5: Solve for x
    x = 1,587,993.60/1,262.56
  6. Step 6: Final answer
    x = 1,257.76

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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.