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Finding the Fourth Proportional to 1,052.09, 1,578.30 and 394.19

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Solution

The fourth proportional to 1,052.09, 1,578.30 and 394.19 is: 591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.09 : 1,578.30 = 394.19 : x
  2. Step 2: Convert to fraction form
    1,052.09/1,578.30 = 394.19/x
  3. Step 3: Cross multiply
    1,052.09x = 1,578.30 × 394.19
  4. Step 4: Simplify right side
    1,052.09x = 622,150.08
  5. Step 5: Solve for x
    x = 622,150.08/1,052.09
  6. Step 6: Final answer
    x = 591.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.