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Finding the Fourth Proportional to 930.50, 1,284.09 and 516.50

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Solution

The fourth proportional to 930.50, 1,284.09 and 516.50 is: 712.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.50 : 1,284.09 = 516.50 : x
  2. Step 2: Convert to fraction form
    930.50/1,284.09 = 516.50/x
  3. Step 3: Cross multiply
    930.50x = 1,284.09 × 516.50
  4. Step 4: Simplify right side
    930.50x = 663,232.49
  5. Step 5: Solve for x
    x = 663,232.49/930.50
  6. Step 6: Final answer
    x = 712.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.