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Finding the Fourth Proportional to 1,239.48, 1,859.01 and 406.41

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Solution

The fourth proportional to 1,239.48, 1,859.01 and 406.41 is: 609.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239.48 : 1,859.01 = 406.41 : x
  2. Step 2: Convert to fraction form
    1,239.48/1,859.01 = 406.41/x
  3. Step 3: Cross multiply
    1,239.48x = 1,859.01 × 406.41
  4. Step 4: Simplify right side
    1,239.48x = 755,520.25
  5. Step 5: Solve for x
    x = 755,520.25/1,239.48
  6. Step 6: Final answer
    x = 609.55

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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.