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Finding the Fourth Proportional to 1,083.34, 1,625.25 and 596.14

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Solution

The fourth proportional to 1,083.34, 1,625.25 and 596.14 is: 894.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.34 : 1,625.25 = 596.14 : x
  2. Step 2: Convert to fraction form
    1,083.34/1,625.25 = 596.14/x
  3. Step 3: Cross multiply
    1,083.34x = 1,625.25 × 596.14
  4. Step 4: Simplify right side
    1,083.34x = 968,876.54
  5. Step 5: Solve for x
    x = 968,876.54/1,083.34
  6. Step 6: Final answer
    x = 894.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.