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Finding the Fourth Proportional to 1,083.08, 1,624.82 and 390.17

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Solution

The fourth proportional to 1,083.08, 1,624.82 and 390.17 is: 585.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.08 : 1,624.82 = 390.17 : x
  2. Step 2: Convert to fraction form
    1,083.08/1,624.82 = 390.17/x
  3. Step 3: Cross multiply
    1,083.08x = 1,624.82 × 390.17
  4. Step 4: Simplify right side
    1,083.08x = 633,945.94
  5. Step 5: Solve for x
    x = 633,945.94/1,083.08
  6. Step 6: Final answer
    x = 585.32

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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.