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Finding the Fourth Proportional to 597.73, 891.71 and 565.33

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Solution

The fourth proportional to 597.73, 891.71 and 565.33 is: 843.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    597.73 : 891.71 = 565.33 : x
  2. Step 2: Convert to fraction form
    597.73/891.71 = 565.33/x
  3. Step 3: Cross multiply
    597.73x = 891.71 × 565.33
  4. Step 4: Simplify right side
    597.73x = 504,110.41
  5. Step 5: Solve for x
    x = 504,110.41/597.73
  6. Step 6: Final answer
    x = 843.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.