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Finding the Fourth Proportional to 1,215.22, 1,822.74 and 484.24

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Solution

The fourth proportional to 1,215.22, 1,822.74 and 484.24 is: 726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.22 : 1,822.74 = 484.24 : x
  2. Step 2: Convert to fraction form
    1,215.22/1,822.74 = 484.24/x
  3. Step 3: Cross multiply
    1,215.22x = 1,822.74 × 484.24
  4. Step 4: Simplify right side
    1,215.22x = 882,643.62
  5. Step 5: Solve for x
    x = 882,643.62/1,215.22
  6. Step 6: Final answer
    x = 726.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.