Home / 1,297.23-1,944.78-516.90

Finding the Fourth Proportional to 1,297.23, 1,944.78 and 516.90

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Solution

The fourth proportional to 1,297.23, 1,944.78 and 516.90 is: 774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,297.23 : 1,944.78 = 516.90 : x
  2. Step 2: Convert to fraction form
    1,297.23/1,944.78 = 516.90/x
  3. Step 3: Cross multiply
    1,297.23x = 1,944.78 × 516.90
  4. Step 4: Simplify right side
    1,297.23x = 1,005,256.78
  5. Step 5: Solve for x
    x = 1,005,256.78/1,297.23
  6. Step 6: Final answer
    x = 774.93

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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.