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Finding the Fourth Proportional to 1,162.02, 1,749.90 and 839.64

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Solution

The fourth proportional to 1,162.02, 1,749.90 and 839.64 is: 1,264.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,162.02 : 1,749.90 = 839.64 : x
  2. Step 2: Convert to fraction form
    1,162.02/1,749.90 = 839.64/x
  3. Step 3: Cross multiply
    1,162.02x = 1,749.90 × 839.64
  4. Step 4: Simplify right side
    1,162.02x = 1,469,286.04
  5. Step 5: Solve for x
    x = 1,469,286.04/1,162.02
  6. Step 6: Final answer
    x = 1,264.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.