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Finding the Fourth Proportional to 872.56, 1,202.88 and 578.26

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Solution

The fourth proportional to 872.56, 1,202.88 and 578.26 is: 797.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.56 : 1,202.88 = 578.26 : x
  2. Step 2: Convert to fraction form
    872.56/1,202.88 = 578.26/x
  3. Step 3: Cross multiply
    872.56x = 1,202.88 × 578.26
  4. Step 4: Simplify right side
    872.56x = 695,577.39
  5. Step 5: Solve for x
    x = 695,577.39/872.56
  6. Step 6: Final answer
    x = 797.17

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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.