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Finding the Fourth Proportional to 1,282.15, 1,776.80 and 1,257.54

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Solution

The fourth proportional to 1,282.15, 1,776.80 and 1,257.54 is: 1,742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.15 : 1,776.80 = 1,257.54 : x
  2. Step 2: Convert to fraction form
    1,282.15/1,776.80 = 1,257.54/x
  3. Step 3: Cross multiply
    1,282.15x = 1,776.80 × 1,257.54
  4. Step 4: Simplify right side
    1,282.15x = 2,234,390.78
  5. Step 5: Solve for x
    x = 2,234,390.78/1,282.15
  6. Step 6: Final answer
    x = 1,742.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.