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Finding the Fourth Proportional to 894.17, 1,234.31 and 673.79

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Solution

The fourth proportional to 894.17, 1,234.31 and 673.79 is: 930.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.17 : 1,234.31 = 673.79 : x
  2. Step 2: Convert to fraction form
    894.17/1,234.31 = 673.79/x
  3. Step 3: Cross multiply
    894.17x = 1,234.31 × 673.79
  4. Step 4: Simplify right side
    894.17x = 831,656.19
  5. Step 5: Solve for x
    x = 831,656.19/894.17
  6. Step 6: Final answer
    x = 930.08

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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.