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Finding the Fourth Proportional to 1,238.76, 1,857.87 and 469.26

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Solution

The fourth proportional to 1,238.76, 1,857.87 and 469.26 is: 703.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.76 : 1,857.87 = 469.26 : x
  2. Step 2: Convert to fraction form
    1,238.76/1,857.87 = 469.26/x
  3. Step 3: Cross multiply
    1,238.76x = 1,857.87 × 469.26
  4. Step 4: Simplify right side
    1,238.76x = 871,824.08
  5. Step 5: Solve for x
    x = 871,824.08/1,238.76
  6. Step 6: Final answer
    x = 703.79

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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.