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Finding the Fourth Proportional to 1,238.43, 1,856.52 and 469.47

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Solution

The fourth proportional to 1,238.43, 1,856.52 and 469.47 is: 703.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.43 : 1,856.52 = 469.47 : x
  2. Step 2: Convert to fraction form
    1,238.43/1,856.52 = 469.47/x
  3. Step 3: Cross multiply
    1,238.43x = 1,856.52 × 469.47
  4. Step 4: Simplify right side
    1,238.43x = 871,580.44
  5. Step 5: Solve for x
    x = 871,580.44/1,238.43
  6. Step 6: Final answer
    x = 703.78

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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.