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Finding the Fourth Proportional to 1,097.03, 1,514.01 and 599.75

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Solution

The fourth proportional to 1,097.03, 1,514.01 and 599.75 is: 827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.03 : 1,514.01 = 599.75 : x
  2. Step 2: Convert to fraction form
    1,097.03/1,514.01 = 599.75/x
  3. Step 3: Cross multiply
    1,097.03x = 1,514.01 × 599.75
  4. Step 4: Simplify right side
    1,097.03x = 908,023.33
  5. Step 5: Solve for x
    x = 908,023.33/1,097.03
  6. Step 6: Final answer
    x = 827.71

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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.