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Finding the Fourth Proportional to 872.92, 1,204.68 and 577.67

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Solution

The fourth proportional to 872.92, 1,204.68 and 577.67 is: 797.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.92 : 1,204.68 = 577.67 : x
  2. Step 2: Convert to fraction form
    872.92/1,204.68 = 577.67/x
  3. Step 3: Cross multiply
    872.92x = 1,204.68 × 577.67
  4. Step 4: Simplify right side
    872.92x = 695,907.50
  5. Step 5: Solve for x
    x = 695,907.50/872.92
  6. Step 6: Final answer
    x = 797.22

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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.