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Finding the Fourth Proportional to 828.98, 1,144.14 and 580.66

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Solution

The fourth proportional to 828.98, 1,144.14 and 580.66 is: 801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.98 : 1,144.14 = 580.66 : x
  2. Step 2: Convert to fraction form
    828.98/1,144.14 = 580.66/x
  3. Step 3: Cross multiply
    828.98x = 1,144.14 × 580.66
  4. Step 4: Simplify right side
    828.98x = 664,347.71
  5. Step 5: Solve for x
    x = 664,347.71/828.98
  6. Step 6: Final answer
    x = 801.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.