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Finding the Fourth Proportional to 1,490.12, 2,235.01 and 394.57

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Solution

The fourth proportional to 1,490.12, 2,235.01 and 394.57 is: 591.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,490.12 : 2,235.01 = 394.57 : x
  2. Step 2: Convert to fraction form
    1,490.12/2,235.01 = 394.57/x
  3. Step 3: Cross multiply
    1,490.12x = 2,235.01 × 394.57
  4. Step 4: Simplify right side
    1,490.12x = 881,871.28
  5. Step 5: Solve for x
    x = 881,871.28/1,490.12
  6. Step 6: Final answer
    x = 591.81

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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.