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Finding the Fourth Proportional to 1,054.66, 1,581.13 and 396.17

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Solution

The fourth proportional to 1,054.66, 1,581.13 and 396.17 is: 593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.66 : 1,581.13 = 396.17 : x
  2. Step 2: Convert to fraction form
    1,054.66/1,581.13 = 396.17/x
  3. Step 3: Cross multiply
    1,054.66x = 1,581.13 × 396.17
  4. Step 4: Simplify right side
    1,054.66x = 626,396.27
  5. Step 5: Solve for x
    x = 626,396.27/1,054.66
  6. Step 6: Final answer
    x = 593.93

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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.