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Finding the Fourth Proportional to 892.04, 1,230.81 and 498.92

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Solution

The fourth proportional to 892.04, 1,230.81 and 498.92 is: 688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    892.04 : 1,230.81 = 498.92 : x
  2. Step 2: Convert to fraction form
    892.04/1,230.81 = 498.92/x
  3. Step 3: Cross multiply
    892.04x = 1,230.81 × 498.92
  4. Step 4: Simplify right side
    892.04x = 614,075.73
  5. Step 5: Solve for x
    x = 614,075.73/892.04
  6. Step 6: Final answer
    x = 688.39

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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.