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Finding the Fourth Proportional to 1,096.20, 1,509.75 and 999

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Solution

The fourth proportional to 1,096.20, 1,509.75 and 999 is: 1,375.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.20 : 1,509.75 = 999 : x
  2. Step 2: Convert to fraction form
    1,096.20/1,509.75 = 999/x
  3. Step 3: Cross multiply
    1,096.20x = 1,509.75 × 999
  4. Step 4: Simplify right side
    1,096.20x = 1,508,240.25
  5. Step 5: Solve for x
    x = 1,508,240.25/1,096.20
  6. Step 6: Final answer
    x = 1,375.88

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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.