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Finding the Fourth Proportional to 1,083.14, 1,624.29 and 380.16

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Solution

The fourth proportional to 1,083.14, 1,624.29 and 380.16 is: 570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.14 : 1,624.29 = 380.16 : x
  2. Step 2: Convert to fraction form
    1,083.14/1,624.29 = 380.16/x
  3. Step 3: Cross multiply
    1,083.14x = 1,624.29 × 380.16
  4. Step 4: Simplify right side
    1,083.14x = 617,488.66
  5. Step 5: Solve for x
    x = 617,488.66/1,083.14
  6. Step 6: Final answer
    x = 570.09

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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.