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Finding the Fourth Proportional to 1,173.14, 1,759.52 and 514.87

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Solution

The fourth proportional to 1,173.14, 1,759.52 and 514.87 is: 772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.14 : 1,759.52 = 514.87 : x
  2. Step 2: Convert to fraction form
    1,173.14/1,759.52 = 514.87/x
  3. Step 3: Cross multiply
    1,173.14x = 1,759.52 × 514.87
  4. Step 4: Simplify right side
    1,173.14x = 905,912.69
  5. Step 5: Solve for x
    x = 905,912.69/1,173.14
  6. Step 6: Final answer
    x = 772.22

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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.