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Finding the Fourth Proportional to 1,215.27, 1,823.09 and 393.33

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Solution

The fourth proportional to 1,215.27, 1,823.09 and 393.33 is: 590.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.27 : 1,823.09 = 393.33 : x
  2. Step 2: Convert to fraction form
    1,215.27/1,823.09 = 393.33/x
  3. Step 3: Cross multiply
    1,215.27x = 1,823.09 × 393.33
  4. Step 4: Simplify right side
    1,215.27x = 717,074.02
  5. Step 5: Solve for x
    x = 717,074.02/1,215.27
  6. Step 6: Final answer
    x = 590.05

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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.