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Finding the Fourth Proportional to 1,382.85, 1,908.31 and 793.47

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Solution

The fourth proportional to 1,382.85, 1,908.31 and 793.47 is: 1,094.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382.85 : 1,908.31 = 793.47 : x
  2. Step 2: Convert to fraction form
    1,382.85/1,908.31 = 793.47/x
  3. Step 3: Cross multiply
    1,382.85x = 1,908.31 × 793.47
  4. Step 4: Simplify right side
    1,382.85x = 1,514,191.51
  5. Step 5: Solve for x
    x = 1,514,191.51/1,382.85
  6. Step 6: Final answer
    x = 1,094.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.