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Finding the Fourth Proportional to 795.86, 1,097.60 and 515.82

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Solution

The fourth proportional to 795.86, 1,097.60 and 515.82 is: 711.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.86 : 1,097.60 = 515.82 : x
  2. Step 2: Convert to fraction form
    795.86/1,097.60 = 515.82/x
  3. Step 3: Cross multiply
    795.86x = 1,097.60 × 515.82
  4. Step 4: Simplify right side
    795.86x = 566,162.30
  5. Step 5: Solve for x
    x = 566,162.30/795.86
  6. Step 6: Final answer
    x = 711.39

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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.