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Finding the Fourth Proportional to 880.77, 1,321.38 and 264.48

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Solution

The fourth proportional to 880.77, 1,321.38 and 264.48 is: 396.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.77 : 1,321.38 = 264.48 : x
  2. Step 2: Convert to fraction form
    880.77/1,321.38 = 264.48/x
  3. Step 3: Cross multiply
    880.77x = 1,321.38 × 264.48
  4. Step 4: Simplify right side
    880.77x = 349,478.58
  5. Step 5: Solve for x
    x = 349,478.58/880.77
  6. Step 6: Final answer
    x = 396.79

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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.