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Finding the Fourth Proportional to 994.08, 1,370.69 and 807

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Solution

The fourth proportional to 994.08, 1,370.69 and 807 is: 1,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    994.08 : 1,370.69 = 807 : x
  2. Step 2: Convert to fraction form
    994.08/1,370.69 = 807/x
  3. Step 3: Cross multiply
    994.08x = 1,370.69 × 807
  4. Step 4: Simplify right side
    994.08x = 1,106,142.80
  5. Step 5: Solve for x
    x = 1,106,142.80/994.08
  6. Step 6: Final answer
    x = 1,112.73

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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.