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Finding the Fourth Proportional to 1,276.05, 1,760.76 and 737.67

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Solution

The fourth proportional to 1,276.05, 1,760.76 and 737.67 is: 1,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.05 : 1,760.76 = 737.67 : x
  2. Step 2: Convert to fraction form
    1,276.05/1,760.76 = 737.67/x
  3. Step 3: Cross multiply
    1,276.05x = 1,760.76 × 737.67
  4. Step 4: Simplify right side
    1,276.05x = 1,298,859.83
  5. Step 5: Solve for x
    x = 1,298,859.83/1,276.05
  6. Step 6: Final answer
    x = 1,017.88

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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.