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Finding the Fourth Proportional to 880.08, 1,213.21 and 584.83

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Solution

The fourth proportional to 880.08, 1,213.21 and 584.83 is: 806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.08 : 1,213.21 = 584.83 : x
  2. Step 2: Convert to fraction form
    880.08/1,213.21 = 584.83/x
  3. Step 3: Cross multiply
    880.08x = 1,213.21 × 584.83
  4. Step 4: Simplify right side
    880.08x = 709,521.60
  5. Step 5: Solve for x
    x = 709,521.60/880.08
  6. Step 6: Final answer
    x = 806.20

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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.