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Finding the Fourth Proportional to 681.02, 937.68 and 597.62

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Solution

The fourth proportional to 681.02, 937.68 and 597.62 is: 822.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.02 : 937.68 = 597.62 : x
  2. Step 2: Convert to fraction form
    681.02/937.68 = 597.62/x
  3. Step 3: Cross multiply
    681.02x = 937.68 × 597.62
  4. Step 4: Simplify right side
    681.02x = 560,376.32
  5. Step 5: Solve for x
    x = 560,376.32/681.02
  6. Step 6: Final answer
    x = 822.85

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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.