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Finding the Fourth Proportional to 890, 1,228.30 and 516.91

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Solution

The fourth proportional to 890, 1,228.30 and 516.91 is: 713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    890 : 1,228.30 = 516.91 : x
  2. Step 2: Convert to fraction form
    890/1,228.30 = 516.91/x
  3. Step 3: Cross multiply
    890x = 1,228.30 × 516.91
  4. Step 4: Simplify right side
    890x = 634,920.55
  5. Step 5: Solve for x
    x = 634,920.55/890
  6. Step 6: Final answer
    x = 713.39

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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.