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Finding the Fourth Proportional to 892.06, 1,230.84 and 518.95

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Solution

The fourth proportional to 892.06, 1,230.84 and 518.95 is: 716.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.06 : 1,230.84 = 518.95 : x
  2. Step 2: Convert to fraction form
    892.06/1,230.84 = 518.95/x
  3. Step 3: Cross multiply
    892.06x = 1,230.84 × 518.95
  4. Step 4: Simplify right side
    892.06x = 638,744.42
  5. Step 5: Solve for x
    x = 638,744.42/892.06
  6. Step 6: Final answer
    x = 716.03

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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.