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Finding the Fourth Proportional to 1,238.32, 1,857.18 and 405.22

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Solution

The fourth proportional to 1,238.32, 1,857.18 and 405.22 is: 607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.32 : 1,857.18 = 405.22 : x
  2. Step 2: Convert to fraction form
    1,238.32/1,857.18 = 405.22/x
  3. Step 3: Cross multiply
    1,238.32x = 1,857.18 × 405.22
  4. Step 4: Simplify right side
    1,238.32x = 752,566.48
  5. Step 5: Solve for x
    x = 752,566.48/1,238.32
  6. Step 6: Final answer
    x = 607.73

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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.