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Finding the Fourth Proportional to 820.06, 1,132.09 and 559.45

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Solution

The fourth proportional to 820.06, 1,132.09 and 559.45 is: 772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.06 : 1,132.09 = 559.45 : x
  2. Step 2: Convert to fraction form
    820.06/1,132.09 = 559.45/x
  3. Step 3: Cross multiply
    820.06x = 1,132.09 × 559.45
  4. Step 4: Simplify right side
    820.06x = 633,342.09
  5. Step 5: Solve for x
    x = 633,342.09/820.06
  6. Step 6: Final answer
    x = 772.31

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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.