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Finding the Fourth Proportional to 838.86, 1,157.18 and 681.68

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Solution

The fourth proportional to 838.86, 1,157.18 and 681.68 is: 940.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    838.86 : 1,157.18 = 681.68 : x
  2. Step 2: Convert to fraction form
    838.86/1,157.18 = 681.68/x
  3. Step 3: Cross multiply
    838.86x = 1,157.18 × 681.68
  4. Step 4: Simplify right side
    838.86x = 788,826.46
  5. Step 5: Solve for x
    x = 788,826.46/838.86
  6. Step 6: Final answer
    x = 940.36

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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.