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Finding the Fourth Proportional to 1,215.80, 1,823.99 and 394.08

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Solution

The fourth proportional to 1,215.80, 1,823.99 and 394.08 is: 591.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.80 : 1,823.99 = 394.08 : x
  2. Step 2: Convert to fraction form
    1,215.80/1,823.99 = 394.08/x
  3. Step 3: Cross multiply
    1,215.80x = 1,823.99 × 394.08
  4. Step 4: Simplify right side
    1,215.80x = 718,788.86
  5. Step 5: Solve for x
    x = 718,788.86/1,215.80
  6. Step 6: Final answer
    x = 591.21

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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.