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Finding the Fourth Proportional to 883.35, 1,219.19 and 584.61

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Solution

The fourth proportional to 883.35, 1,219.19 and 584.61 is: 806.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.35 : 1,219.19 = 584.61 : x
  2. Step 2: Convert to fraction form
    883.35/1,219.19 = 584.61/x
  3. Step 3: Cross multiply
    883.35x = 1,219.19 × 584.61
  4. Step 4: Simplify right side
    883.35x = 712,753.32
  5. Step 5: Solve for x
    x = 712,753.32/883.35
  6. Step 6: Final answer
    x = 806.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.