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Finding the Fourth Proportional to 1,215.14, 1,823.79 and 486.14

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Solution

The fourth proportional to 1,215.14, 1,823.79 and 486.14 is: 729.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.14 : 1,823.79 = 486.14 : x
  2. Step 2: Convert to fraction form
    1,215.14/1,823.79 = 486.14/x
  3. Step 3: Cross multiply
    1,215.14x = 1,823.79 × 486.14
  4. Step 4: Simplify right side
    1,215.14x = 886,617.27
  5. Step 5: Solve for x
    x = 886,617.27/1,215.14
  6. Step 6: Final answer
    x = 729.64

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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.