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Finding the Fourth Proportional to 1,097.18, 1,514.06 and 599.82

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Solution

The fourth proportional to 1,097.18, 1,514.06 and 599.82 is: 827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.18 : 1,514.06 = 599.82 : x
  2. Step 2: Convert to fraction form
    1,097.18/1,514.06 = 599.82/x
  3. Step 3: Cross multiply
    1,097.18x = 1,514.06 × 599.82
  4. Step 4: Simplify right side
    1,097.18x = 908,163.47
  5. Step 5: Solve for x
    x = 908,163.47/1,097.18
  6. Step 6: Final answer
    x = 827.73

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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.