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Finding the Fourth Proportional to 1,382.87, 1,908.54 and 793.29

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Solution

The fourth proportional to 1,382.87, 1,908.54 and 793.29 is: 1,094.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.87 : 1,908.54 = 793.29 : x
  2. Step 2: Convert to fraction form
    1,382.87/1,908.54 = 793.29/x
  3. Step 3: Cross multiply
    1,382.87x = 1,908.54 × 793.29
  4. Step 4: Simplify right side
    1,382.87x = 1,514,012.19
  5. Step 5: Solve for x
    x = 1,514,012.19/1,382.87
  6. Step 6: Final answer
    x = 1,094.84

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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.