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Finding the Fourth Proportional to 880.81, 1,321.19 and 511.16

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Solution

The fourth proportional to 880.81, 1,321.19 and 511.16 is: 766.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.81 : 1,321.19 = 511.16 : x
  2. Step 2: Convert to fraction form
    880.81/1,321.19 = 511.16/x
  3. Step 3: Cross multiply
    880.81x = 1,321.19 × 511.16
  4. Step 4: Simplify right side
    880.81x = 675,339.48
  5. Step 5: Solve for x
    x = 675,339.48/880.81
  6. Step 6: Final answer
    x = 766.73

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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.