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Finding the Fourth Proportional to 820.45, 1,132.44 and 505.97

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Solution

The fourth proportional to 820.45, 1,132.44 and 505.97 is: 698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.45 : 1,132.44 = 505.97 : x
  2. Step 2: Convert to fraction form
    820.45/1,132.44 = 505.97/x
  3. Step 3: Cross multiply
    820.45x = 1,132.44 × 505.97
  4. Step 4: Simplify right side
    820.45x = 572,981.96
  5. Step 5: Solve for x
    x = 572,981.96/820.45
  6. Step 6: Final answer
    x = 698.37

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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.