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Finding the Fourth Proportional to 890.37, 1,229.15 and 678.81

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Solution

The fourth proportional to 890.37, 1,229.15 and 678.81 is: 937.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.37 : 1,229.15 = 678.81 : x
  2. Step 2: Convert to fraction form
    890.37/1,229.15 = 678.81/x
  3. Step 3: Cross multiply
    890.37x = 1,229.15 × 678.81
  4. Step 4: Simplify right side
    890.37x = 834,355.39
  5. Step 5: Solve for x
    x = 834,355.39/890.37
  6. Step 6: Final answer
    x = 937.09

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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.