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Finding the Fourth Proportional to 859.41, 1,288.13 and 448.41

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Solution

The fourth proportional to 859.41, 1,288.13 and 448.41 is: 672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.41 : 1,288.13 = 448.41 : x
  2. Step 2: Convert to fraction form
    859.41/1,288.13 = 448.41/x
  3. Step 3: Cross multiply
    859.41x = 1,288.13 × 448.41
  4. Step 4: Simplify right side
    859.41x = 577,608.13
  5. Step 5: Solve for x
    x = 577,608.13/859.41
  6. Step 6: Final answer
    x = 672.10

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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.