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Finding the Fourth Proportional to 863.49, 1,193.01 and 602.67

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Solution

The fourth proportional to 863.49, 1,193.01 and 602.67 is: 832.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.49 : 1,193.01 = 602.67 : x
  2. Step 2: Convert to fraction form
    863.49/1,193.01 = 602.67/x
  3. Step 3: Cross multiply
    863.49x = 1,193.01 × 602.67
  4. Step 4: Simplify right side
    863.49x = 718,982.36
  5. Step 5: Solve for x
    x = 718,982.36/863.49
  6. Step 6: Final answer
    x = 832.65

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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.