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Finding the Fourth Proportional to 1,213.48, 1,673.31 and 794.19

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Solution

The fourth proportional to 1,213.48, 1,673.31 and 794.19 is: 1,095.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.48 : 1,673.31 = 794.19 : x
  2. Step 2: Convert to fraction form
    1,213.48/1,673.31 = 794.19/x
  3. Step 3: Cross multiply
    1,213.48x = 1,673.31 × 794.19
  4. Step 4: Simplify right side
    1,213.48x = 1,328,926.07
  5. Step 5: Solve for x
    x = 1,328,926.07/1,213.48
  6. Step 6: Final answer
    x = 1,095.14

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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.