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Finding the Fourth Proportional to 1,297.28, 1,942.65 and 747.83

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Solution

The fourth proportional to 1,297.28, 1,942.65 and 747.83 is: 1,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.28 : 1,942.65 = 747.83 : x
  2. Step 2: Convert to fraction form
    1,297.28/1,942.65 = 747.83/x
  3. Step 3: Cross multiply
    1,297.28x = 1,942.65 × 747.83
  4. Step 4: Simplify right side
    1,297.28x = 1,452,776.81
  5. Step 5: Solve for x
    x = 1,452,776.81/1,297.28
  6. Step 6: Final answer
    x = 1,119.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.