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Finding the Fourth Proportional to 597.06, 819.09 and 559.80

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Solution

The fourth proportional to 597.06, 819.09 and 559.80 is: 767.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.06 : 819.09 = 559.80 : x
  2. Step 2: Convert to fraction form
    597.06/819.09 = 559.80/x
  3. Step 3: Cross multiply
    597.06x = 819.09 × 559.80
  4. Step 4: Simplify right side
    597.06x = 458,526.58
  5. Step 5: Solve for x
    x = 458,526.58/597.06
  6. Step 6: Final answer
    x = 767.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.