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Finding the Fourth Proportional to 996.95, 1,495.83 and 412.44

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Solution

The fourth proportional to 996.95, 1,495.83 and 412.44 is: 618.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.95 : 1,495.83 = 412.44 : x
  2. Step 2: Convert to fraction form
    996.95/1,495.83 = 412.44/x
  3. Step 3: Cross multiply
    996.95x = 1,495.83 × 412.44
  4. Step 4: Simplify right side
    996.95x = 616,932.65
  5. Step 5: Solve for x
    x = 616,932.65/996.95
  6. Step 6: Final answer
    x = 618.82

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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.