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Finding the Fourth Proportional to 1,083.09, 1,494.57 and 617.34

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Solution

The fourth proportional to 1,083.09, 1,494.57 and 617.34 is: 851.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.09 : 1,494.57 = 617.34 : x
  2. Step 2: Convert to fraction form
    1,083.09/1,494.57 = 617.34/x
  3. Step 3: Cross multiply
    1,083.09x = 1,494.57 × 617.34
  4. Step 4: Simplify right side
    1,083.09x = 922,657.84
  5. Step 5: Solve for x
    x = 922,657.84/1,083.09
  6. Step 6: Final answer
    x = 851.88

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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.