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Finding the Fourth Proportional to 1,215.93, 1,824.17 and 394.20

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Solution

The fourth proportional to 1,215.93, 1,824.17 and 394.20 is: 591.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.93 : 1,824.17 = 394.20 : x
  2. Step 2: Convert to fraction form
    1,215.93/1,824.17 = 394.20/x
  3. Step 3: Cross multiply
    1,215.93x = 1,824.17 × 394.20
  4. Step 4: Simplify right side
    1,215.93x = 719,085.84
  5. Step 5: Solve for x
    x = 719,085.84/1,215.93
  6. Step 6: Final answer
    x = 591.39

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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.