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Finding the Fourth Proportional to 1,428.50, 2,143.07 and 516.50

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Solution

The fourth proportional to 1,428.50, 2,143.07 and 516.50 is: 774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.50 : 2,143.07 = 516.50 : x
  2. Step 2: Convert to fraction form
    1,428.50/2,143.07 = 516.50/x
  3. Step 3: Cross multiply
    1,428.50x = 2,143.07 × 516.50
  4. Step 4: Simplify right side
    1,428.50x = 1,106,895.66
  5. Step 5: Solve for x
    x = 1,106,895.66/1,428.50
  6. Step 6: Final answer
    x = 774.87

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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.