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Finding the Fourth Proportional to 990.38, 1,367.19 and 896.78

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Solution

The fourth proportional to 990.38, 1,367.19 and 896.78 is: 1,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.38 : 1,367.19 = 896.78 : x
  2. Step 2: Convert to fraction form
    990.38/1,367.19 = 896.78/x
  3. Step 3: Cross multiply
    990.38x = 1,367.19 × 896.78
  4. Step 4: Simplify right side
    990.38x = 1,226,068.65
  5. Step 5: Solve for x
    x = 1,226,068.65/990.38
  6. Step 6: Final answer
    x = 1,237.98

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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.