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Finding the Fourth Proportional to 1,138.31, 1,702.81 and 809.22

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Solution

The fourth proportional to 1,138.31, 1,702.81 and 809.22 is: 1,210.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.31 : 1,702.81 = 809.22 : x
  2. Step 2: Convert to fraction form
    1,138.31/1,702.81 = 809.22/x
  3. Step 3: Cross multiply
    1,138.31x = 1,702.81 × 809.22
  4. Step 4: Simplify right side
    1,138.31x = 1,377,947.91
  5. Step 5: Solve for x
    x = 1,377,947.91/1,138.31
  6. Step 6: Final answer
    x = 1,210.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.