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Finding the Fourth Proportional to 1,083.45, 1,625.71 and 390.27

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Solution

The fourth proportional to 1,083.45, 1,625.71 and 390.27 is: 585.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.45 : 1,625.71 = 390.27 : x
  2. Step 2: Convert to fraction form
    1,083.45/1,625.71 = 390.27/x
  3. Step 3: Cross multiply
    1,083.45x = 1,625.71 × 390.27
  4. Step 4: Simplify right side
    1,083.45x = 634,472.43
  5. Step 5: Solve for x
    x = 634,472.43/1,083.45
  6. Step 6: Final answer
    x = 585.61

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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.