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Finding the Fourth Proportional to 863.02, 1,294.54 and 588.43

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Solution

The fourth proportional to 863.02, 1,294.54 and 588.43 is: 882.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.02 : 1,294.54 = 588.43 : x
  2. Step 2: Convert to fraction form
    863.02/1,294.54 = 588.43/x
  3. Step 3: Cross multiply
    863.02x = 1,294.54 × 588.43
  4. Step 4: Simplify right side
    863.02x = 761,743.23
  5. Step 5: Solve for x
    x = 761,743.23/863.02
  6. Step 6: Final answer
    x = 882.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.