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Finding the Fourth Proportional to 795.58, 1,097.78 and 516.20

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Solution

The fourth proportional to 795.58, 1,097.78 and 516.20 is: 712.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.58 : 1,097.78 = 516.20 : x
  2. Step 2: Convert to fraction form
    795.58/1,097.78 = 516.20/x
  3. Step 3: Cross multiply
    795.58x = 1,097.78 × 516.20
  4. Step 4: Simplify right side
    795.58x = 566,674.04
  5. Step 5: Solve for x
    x = 566,674.04/795.58
  6. Step 6: Final answer
    x = 712.28

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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.