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Finding the Fourth Proportional to 1,081.16, 1,622.54 and 387.84

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Solution

The fourth proportional to 1,081.16, 1,622.54 and 387.84 is: 582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.16 : 1,622.54 = 387.84 : x
  2. Step 2: Convert to fraction form
    1,081.16/1,622.54 = 387.84/x
  3. Step 3: Cross multiply
    1,081.16x = 1,622.54 × 387.84
  4. Step 4: Simplify right side
    1,081.16x = 629,285.91
  5. Step 5: Solve for x
    x = 629,285.91/1,081.16
  6. Step 6: Final answer
    x = 582.05

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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.