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Finding the Fourth Proportional to 1,083.82, 1,625.94 and 390.58

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Solution

The fourth proportional to 1,083.82, 1,625.94 and 390.58 is: 585.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.82 : 1,625.94 = 390.58 : x
  2. Step 2: Convert to fraction form
    1,083.82/1,625.94 = 390.58/x
  3. Step 3: Cross multiply
    1,083.82x = 1,625.94 × 390.58
  4. Step 4: Simplify right side
    1,083.82x = 635,059.65
  5. Step 5: Solve for x
    x = 635,059.65/1,083.82
  6. Step 6: Final answer
    x = 585.95

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