Home / 1,165.14-1,747.74-516.36

Finding the Fourth Proportional to 1,165.14, 1,747.74 and 516.36

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Solution

The fourth proportional to 1,165.14, 1,747.74 and 516.36 is: 774.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.14 : 1,747.74 = 516.36 : x
  2. Step 2: Convert to fraction form
    1,165.14/1,747.74 = 516.36/x
  3. Step 3: Cross multiply
    1,165.14x = 1,747.74 × 516.36
  4. Step 4: Simplify right side
    1,165.14x = 902,463.03
  5. Step 5: Solve for x
    x = 902,463.03/1,165.14
  6. Step 6: Final answer
    x = 774.55

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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.