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Finding the Fourth Proportional to 740.38, 1,111.26 and 394.12

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Solution

The fourth proportional to 740.38, 1,111.26 and 394.12 is: 591.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.38 : 1,111.26 = 394.12 : x
  2. Step 2: Convert to fraction form
    740.38/1,111.26 = 394.12/x
  3. Step 3: Cross multiply
    740.38x = 1,111.26 × 394.12
  4. Step 4: Simplify right side
    740.38x = 437,969.79
  5. Step 5: Solve for x
    x = 437,969.79/740.38
  6. Step 6: Final answer
    x = 591.55

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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.