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Finding the Fourth Proportional to 1,097.44, 1,514.46 and 600.08

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Solution

The fourth proportional to 1,097.44, 1,514.46 and 600.08 is: 828.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.44 : 1,514.46 = 600.08 : x
  2. Step 2: Convert to fraction form
    1,097.44/1,514.46 = 600.08/x
  3. Step 3: Cross multiply
    1,097.44x = 1,514.46 × 600.08
  4. Step 4: Simplify right side
    1,097.44x = 908,800.94
  5. Step 5: Solve for x
    x = 908,800.94/1,097.44
  6. Step 6: Final answer
    x = 828.11

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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.