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Finding the Fourth Proportional to 795.54, 1,097.94 and 516.08

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Solution

The fourth proportional to 795.54, 1,097.94 and 516.08 is: 712.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.54 : 1,097.94 = 516.08 : x
  2. Step 2: Convert to fraction form
    795.54/1,097.94 = 516.08/x
  3. Step 3: Cross multiply
    795.54x = 1,097.94 × 516.08
  4. Step 4: Simplify right side
    795.54x = 566,624.88
  5. Step 5: Solve for x
    x = 566,624.88/795.54
  6. Step 6: Final answer
    x = 712.25

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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.