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Finding the Fourth Proportional to 872.06, 1,202.72 and 577.35

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Solution

The fourth proportional to 872.06, 1,202.72 and 577.35 is: 796.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.06 : 1,202.72 = 577.35 : x
  2. Step 2: Convert to fraction form
    872.06/1,202.72 = 577.35/x
  3. Step 3: Cross multiply
    872.06x = 1,202.72 × 577.35
  4. Step 4: Simplify right side
    872.06x = 694,387.51
  5. Step 5: Solve for x
    x = 694,387.51/872.06
  6. Step 6: Final answer
    x = 796.27

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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.