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Finding the Fourth Proportional to 1,215.27, 1,822.74 and 484.35

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Solution

The fourth proportional to 1,215.27, 1,822.74 and 484.35 is: 726.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.27 : 1,822.74 = 484.35 : x
  2. Step 2: Convert to fraction form
    1,215.27/1,822.74 = 484.35/x
  3. Step 3: Cross multiply
    1,215.27x = 1,822.74 × 484.35
  4. Step 4: Simplify right side
    1,215.27x = 882,844.12
  5. Step 5: Solve for x
    x = 882,844.12/1,215.27
  6. Step 6: Final answer
    x = 726.46

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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.