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Finding the Fourth Proportional to 699.72, 1,048.02 and 516.66

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Solution

The fourth proportional to 699.72, 1,048.02 and 516.66 is: 773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    699.72 : 1,048.02 = 516.66 : x
  2. Step 2: Convert to fraction form
    699.72/1,048.02 = 516.66/x
  3. Step 3: Cross multiply
    699.72x = 1,048.02 × 516.66
  4. Step 4: Simplify right side
    699.72x = 541,470.01
  5. Step 5: Solve for x
    x = 541,470.01/699.72
  6. Step 6: Final answer
    x = 773.84

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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.