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Finding the Fourth Proportional to 872.35, 1,204.16 and 577.72

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Solution

The fourth proportional to 872.35, 1,204.16 and 577.72 is: 797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.35 : 1,204.16 = 577.72 : x
  2. Step 2: Convert to fraction form
    872.35/1,204.16 = 577.72/x
  3. Step 3: Cross multiply
    872.35x = 1,204.16 × 577.72
  4. Step 4: Simplify right side
    872.35x = 695,667.32
  5. Step 5: Solve for x
    x = 695,667.32/872.35
  6. Step 6: Final answer
    x = 797.46

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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.