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Finding the Fourth Proportional to 1,097.82, 1,514.89 and 600.43

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Solution

The fourth proportional to 1,097.82, 1,514.89 and 600.43 is: 828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.82 : 1,514.89 = 600.43 : x
  2. Step 2: Convert to fraction form
    1,097.82/1,514.89 = 600.43/x
  3. Step 3: Cross multiply
    1,097.82x = 1,514.89 × 600.43
  4. Step 4: Simplify right side
    1,097.82x = 909,585.40
  5. Step 5: Solve for x
    x = 909,585.40/1,097.82
  6. Step 6: Final answer
    x = 828.54

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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.