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Finding the Fourth Proportional to 1,055.43, 1,581.95 and 396.68

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Solution

The fourth proportional to 1,055.43, 1,581.95 and 396.68 is: 594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.43 : 1,581.95 = 396.68 : x
  2. Step 2: Convert to fraction form
    1,055.43/1,581.95 = 396.68/x
  3. Step 3: Cross multiply
    1,055.43x = 1,581.95 × 396.68
  4. Step 4: Simplify right side
    1,055.43x = 627,521.01
  5. Step 5: Solve for x
    x = 627,521.01/1,055.43
  6. Step 6: Final answer
    x = 594.56

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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.