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Finding the Fourth Proportional to 1,093.25, 1,509.44 and 674.15

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Solution

The fourth proportional to 1,093.25, 1,509.44 and 674.15 is: 930.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,093.25 : 1,509.44 = 674.15 : x
  2. Step 2: Convert to fraction form
    1,093.25/1,509.44 = 674.15/x
  3. Step 3: Cross multiply
    1,093.25x = 1,509.44 × 674.15
  4. Step 4: Simplify right side
    1,093.25x = 1,017,578.06
  5. Step 5: Solve for x
    x = 1,017,578.06/1,093.25
  6. Step 6: Final answer
    x = 930.78

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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.