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Finding the Fourth Proportional to 1,316.26, 1,974.48 and 494.34

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Solution

The fourth proportional to 1,316.26, 1,974.48 and 494.34 is: 741.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.26 : 1,974.48 = 494.34 : x
  2. Step 2: Convert to fraction form
    1,316.26/1,974.48 = 494.34/x
  3. Step 3: Cross multiply
    1,316.26x = 1,974.48 × 494.34
  4. Step 4: Simplify right side
    1,316.26x = 976,064.44
  5. Step 5: Solve for x
    x = 976,064.44/1,316.26
  6. Step 6: Final answer
    x = 741.54

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