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Finding the Fourth Proportional to 1,174.16, 1,761.31 and 394.19

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Solution

The fourth proportional to 1,174.16, 1,761.31 and 394.19 is: 591.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174.16 : 1,761.31 = 394.19 : x
  2. Step 2: Convert to fraction form
    1,174.16/1,761.31 = 394.19/x
  3. Step 3: Cross multiply
    1,174.16x = 1,761.31 × 394.19
  4. Step 4: Simplify right side
    1,174.16x = 694,294.21
  5. Step 5: Solve for x
    x = 694,294.21/1,174.16
  6. Step 6: Final answer
    x = 591.31

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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.