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Finding the Fourth Proportional to 892.08, 1,230.80 and 577.35

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Solution

The fourth proportional to 892.08, 1,230.80 and 577.35 is: 796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.08 : 1,230.80 = 577.35 : x
  2. Step 2: Convert to fraction form
    892.08/1,230.80 = 577.35/x
  3. Step 3: Cross multiply
    892.08x = 1,230.80 × 577.35
  4. Step 4: Simplify right side
    892.08x = 710,599.49
  5. Step 5: Solve for x
    x = 710,599.49/892.08
  6. Step 6: Final answer
    x = 796.56

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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.