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Finding the Fourth Proportional to 808.26, 1,209.69 and 584.97

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Solution

The fourth proportional to 808.26, 1,209.69 and 584.97 is: 875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.26 : 1,209.69 = 584.97 : x
  2. Step 2: Convert to fraction form
    808.26/1,209.69 = 584.97/x
  3. Step 3: Cross multiply
    808.26x = 1,209.69 × 584.97
  4. Step 4: Simplify right side
    808.26x = 707,632.36
  5. Step 5: Solve for x
    x = 707,632.36/808.26
  6. Step 6: Final answer
    x = 875.50

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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.