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Finding the Fourth Proportional to 795.91, 1,098.21 and 516.07

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Solution

The fourth proportional to 795.91, 1,098.21 and 516.07 is: 712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.91 : 1,098.21 = 516.07 : x
  2. Step 2: Convert to fraction form
    795.91/1,098.21 = 516.07/x
  3. Step 3: Cross multiply
    795.91x = 1,098.21 × 516.07
  4. Step 4: Simplify right side
    795.91x = 566,753.23
  5. Step 5: Solve for x
    x = 566,753.23/795.91
  6. Step 6: Final answer
    x = 712.08

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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.