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Finding the Fourth Proportional to 1,083.04, 1,624.31 and 389.77

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Solution

The fourth proportional to 1,083.04, 1,624.31 and 389.77 is: 584.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.04 : 1,624.31 = 389.77 : x
  2. Step 2: Convert to fraction form
    1,083.04/1,624.31 = 389.77/x
  3. Step 3: Cross multiply
    1,083.04x = 1,624.31 × 389.77
  4. Step 4: Simplify right side
    1,083.04x = 633,107.31
  5. Step 5: Solve for x
    x = 633,107.31/1,083.04
  6. Step 6: Final answer
    x = 584.57

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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.