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Finding the Fourth Proportional to 942.61, 1,414.15 and 394.51

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Solution

The fourth proportional to 942.61, 1,414.15 and 394.51 is: 591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.61 : 1,414.15 = 394.51 : x
  2. Step 2: Convert to fraction form
    942.61/1,414.15 = 394.51/x
  3. Step 3: Cross multiply
    942.61x = 1,414.15 × 394.51
  4. Step 4: Simplify right side
    942.61x = 557,896.32
  5. Step 5: Solve for x
    x = 557,896.32/942.61
  6. Step 6: Final answer
    x = 591.86

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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.