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Finding the Fourth Proportional to 1,138.18, 1,568.80 and 806.18

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Solution

The fourth proportional to 1,138.18, 1,568.80 and 806.18 is: 1,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.18 : 1,568.80 = 806.18 : x
  2. Step 2: Convert to fraction form
    1,138.18/1,568.80 = 806.18/x
  3. Step 3: Cross multiply
    1,138.18x = 1,568.80 × 806.18
  4. Step 4: Simplify right side
    1,138.18x = 1,264,735.18
  5. Step 5: Solve for x
    x = 1,264,735.18/1,138.18
  6. Step 6: Final answer
    x = 1,111.19

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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.