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Finding the Fourth Proportional to 681, 937.76 and 597.66

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Solution

The fourth proportional to 681, 937.76 and 597.66 is: 822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    681 : 937.76 = 597.66 : x
  2. Step 2: Convert to fraction form
    681/937.76 = 597.66/x
  3. Step 3: Cross multiply
    681x = 937.76 × 597.66
  4. Step 4: Simplify right side
    681x = 560,458.65
  5. Step 5: Solve for x
    x = 560,458.65/681
  6. Step 6: Final answer
    x = 822.99

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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.