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Finding the Fourth Proportional to 1,093.14, 1,508.52 and 627.39

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Solution

The fourth proportional to 1,093.14, 1,508.52 and 627.39 is: 865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.14 : 1,508.52 = 627.39 : x
  2. Step 2: Convert to fraction form
    1,093.14/1,508.52 = 627.39/x
  3. Step 3: Cross multiply
    1,093.14x = 1,508.52 × 627.39
  4. Step 4: Simplify right side
    1,093.14x = 946,430.36
  5. Step 5: Solve for x
    x = 946,430.36/1,093.14
  6. Step 6: Final answer
    x = 865.79

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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.