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Finding the Fourth Proportional to 892.63, 1,230.72 and 577.36

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Solution

The fourth proportional to 892.63, 1,230.72 and 577.36 is: 796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.63 : 1,230.72 = 577.36 : x
  2. Step 2: Convert to fraction form
    892.63/1,230.72 = 577.36/x
  3. Step 3: Cross multiply
    892.63x = 1,230.72 × 577.36
  4. Step 4: Simplify right side
    892.63x = 710,568.50
  5. Step 5: Solve for x
    x = 710,568.50/892.63
  6. Step 6: Final answer
    x = 796.04

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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.