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Finding the Fourth Proportional to 1,138.28, 1,566.75 and 806.13

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Solution

The fourth proportional to 1,138.28, 1,566.75 and 806.13 is: 1,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.28 : 1,566.75 = 806.13 : x
  2. Step 2: Convert to fraction form
    1,138.28/1,566.75 = 806.13/x
  3. Step 3: Cross multiply
    1,138.28x = 1,566.75 × 806.13
  4. Step 4: Simplify right side
    1,138.28x = 1,263,001.15
  5. Step 5: Solve for x
    x = 1,263,001.15/1,138.28
  6. Step 6: Final answer
    x = 1,109.57

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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.