Home / 1,097.20-1,514.14-599.83

Finding the Fourth Proportional to 1,097.20, 1,514.14 and 599.83

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Solution

The fourth proportional to 1,097.20, 1,514.14 and 599.83 is: 827.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.20 : 1,514.14 = 599.83 : x
  2. Step 2: Convert to fraction form
    1,097.20/1,514.14 = 599.83/x
  3. Step 3: Cross multiply
    1,097.20x = 1,514.14 × 599.83
  4. Step 4: Simplify right side
    1,097.20x = 908,219.03
  5. Step 5: Solve for x
    x = 908,219.03/1,097.20
  6. Step 6: Final answer
    x = 827.76

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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.