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Finding the Fourth Proportional to 681.96, 937.37 and 653.80

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Solution

The fourth proportional to 681.96, 937.37 and 653.80 is: 898.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.96 : 937.37 = 653.80 : x
  2. Step 2: Convert to fraction form
    681.96/937.37 = 653.80/x
  3. Step 3: Cross multiply
    681.96x = 937.37 × 653.80
  4. Step 4: Simplify right side
    681.96x = 612,852.51
  5. Step 5: Solve for x
    x = 612,852.51/681.96
  6. Step 6: Final answer
    x = 898.66

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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.