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Finding the Fourth Proportional to 1,490.11, 2,235.17 and 394.56

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Solution

The fourth proportional to 1,490.11, 2,235.17 and 394.56 is: 591.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.11 : 2,235.17 = 394.56 : x
  2. Step 2: Convert to fraction form
    1,490.11/2,235.17 = 394.56/x
  3. Step 3: Cross multiply
    1,490.11x = 2,235.17 × 394.56
  4. Step 4: Simplify right side
    1,490.11x = 881,914.84
  5. Step 5: Solve for x
    x = 881,914.84/1,490.11
  6. Step 6: Final answer
    x = 591.84

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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.