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Finding the Fourth Proportional to 880.76, 1,319.91 and 447.41

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Solution

The fourth proportional to 880.76, 1,319.91 and 447.41 is: 670.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.76 : 1,319.91 = 447.41 : x
  2. Step 2: Convert to fraction form
    880.76/1,319.91 = 447.41/x
  3. Step 3: Cross multiply
    880.76x = 1,319.91 × 447.41
  4. Step 4: Simplify right side
    880.76x = 590,540.93
  5. Step 5: Solve for x
    x = 590,540.93/880.76
  6. Step 6: Final answer
    x = 670.49

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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.