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Finding the Fourth Proportional to 930.46, 1,284.07 and 516.54

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Solution

The fourth proportional to 930.46, 1,284.07 and 516.54 is: 712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.46 : 1,284.07 = 516.54 : x
  2. Step 2: Convert to fraction form
    930.46/1,284.07 = 516.54/x
  3. Step 3: Cross multiply
    930.46x = 1,284.07 × 516.54
  4. Step 4: Simplify right side
    930.46x = 663,273.52
  5. Step 5: Solve for x
    x = 663,273.52/930.46
  6. Step 6: Final answer
    x = 712.84

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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.