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Finding the Fourth Proportional to 685.22, 943.20 and 597.74

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Solution

The fourth proportional to 685.22, 943.20 and 597.74 is: 822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    685.22 : 943.20 = 597.74 : x
  2. Step 2: Convert to fraction form
    685.22/943.20 = 597.74/x
  3. Step 3: Cross multiply
    685.22x = 943.20 × 597.74
  4. Step 4: Simplify right side
    685.22x = 563,783.65
  5. Step 5: Solve for x
    x = 563,783.65/685.22
  6. Step 6: Final answer
    x = 822.78

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