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Finding the Fourth Proportional to 1,083.05, 1,624.71 and 389.57

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Solution

The fourth proportional to 1,083.05, 1,624.71 and 389.57 is: 584.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.05 : 1,624.71 = 389.57 : x
  2. Step 2: Convert to fraction form
    1,083.05/1,624.71 = 389.57/x
  3. Step 3: Cross multiply
    1,083.05x = 1,624.71 × 389.57
  4. Step 4: Simplify right side
    1,083.05x = 632,938.27
  5. Step 5: Solve for x
    x = 632,938.27/1,083.05
  6. Step 6: Final answer
    x = 584.41

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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.