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Finding the Fourth Proportional to 1,276.81, 1,763.72 and 1,127.67

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Solution

The fourth proportional to 1,276.81, 1,763.72 and 1,127.67 is: 1,557.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.81 : 1,763.72 = 1,127.67 : x
  2. Step 2: Convert to fraction form
    1,276.81/1,763.72 = 1,127.67/x
  3. Step 3: Cross multiply
    1,276.81x = 1,763.72 × 1,127.67
  4. Step 4: Simplify right side
    1,276.81x = 1,988,902.37
  5. Step 5: Solve for x
    x = 1,988,902.37/1,276.81
  6. Step 6: Final answer
    x = 1,557.71

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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.