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Finding the Fourth Proportional to 1,054.06, 1,581.31 and 395.83

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Solution

The fourth proportional to 1,054.06, 1,581.31 and 395.83 is: 593.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.06 : 1,581.31 = 395.83 : x
  2. Step 2: Convert to fraction form
    1,054.06/1,581.31 = 395.83/x
  3. Step 3: Cross multiply
    1,054.06x = 1,581.31 × 395.83
  4. Step 4: Simplify right side
    1,054.06x = 625,932.41
  5. Step 5: Solve for x
    x = 625,932.41/1,054.06
  6. Step 6: Final answer
    x = 593.83

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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.