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Finding the Fourth Proportional to 872.48, 1,203.72 and 577.46

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Solution

The fourth proportional to 872.48, 1,203.72 and 577.46 is: 796.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.48 : 1,203.72 = 577.46 : x
  2. Step 2: Convert to fraction form
    872.48/1,203.72 = 577.46/x
  3. Step 3: Cross multiply
    872.48x = 1,203.72 × 577.46
  4. Step 4: Simplify right side
    872.48x = 695,100.15
  5. Step 5: Solve for x
    x = 695,100.15/872.48
  6. Step 6: Final answer
    x = 796.69

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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.