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Finding the Fourth Proportional to 996.08, 1,494.52 and 411.56

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Solution

The fourth proportional to 996.08, 1,494.52 and 411.56 is: 617.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.08 : 1,494.52 = 411.56 : x
  2. Step 2: Convert to fraction form
    996.08/1,494.52 = 411.56/x
  3. Step 3: Cross multiply
    996.08x = 1,494.52 × 411.56
  4. Step 4: Simplify right side
    996.08x = 615,075.12
  5. Step 5: Solve for x
    x = 615,075.12/996.08
  6. Step 6: Final answer
    x = 617.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.