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Finding the Fourth Proportional to 1,215.23, 1,822.91 and 393.57

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Solution

The fourth proportional to 1,215.23, 1,822.91 and 393.57 is: 590.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.23 : 1,822.91 = 393.57 : x
  2. Step 2: Convert to fraction form
    1,215.23/1,822.91 = 393.57/x
  3. Step 3: Cross multiply
    1,215.23x = 1,822.91 × 393.57
  4. Step 4: Simplify right side
    1,215.23x = 717,440.72
  5. Step 5: Solve for x
    x = 717,440.72/1,215.23
  6. Step 6: Final answer
    x = 590.38

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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.