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Finding the Fourth Proportional to 878.26, 1,212.04 and 583.02

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Solution

The fourth proportional to 878.26, 1,212.04 and 583.02 is: 804.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.26 : 1,212.04 = 583.02 : x
  2. Step 2: Convert to fraction form
    878.26/1,212.04 = 583.02/x
  3. Step 3: Cross multiply
    878.26x = 1,212.04 × 583.02
  4. Step 4: Simplify right side
    878.26x = 706,643.56
  5. Step 5: Solve for x
    x = 706,643.56/878.26
  6. Step 6: Final answer
    x = 804.59

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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.