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Finding the Fourth Proportional to 795, 1,097.40 and 519

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Solution

The fourth proportional to 795, 1,097.40 and 519 is: 716.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    795 : 1,097.40 = 519 : x
  2. Step 2: Convert to fraction form
    795/1,097.40 = 519/x
  3. Step 3: Cross multiply
    795x = 1,097.40 × 519
  4. Step 4: Simplify right side
    795x = 569,550.60
  5. Step 5: Solve for x
    x = 569,550.60/795
  6. Step 6: Final answer
    x = 716.42

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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.