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Finding the Fourth Proportional to 863.14, 1,295.19 and 590.02

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Solution

The fourth proportional to 863.14, 1,295.19 and 590.02 is: 885.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.14 : 1,295.19 = 590.02 : x
  2. Step 2: Convert to fraction form
    863.14/1,295.19 = 590.02/x
  3. Step 3: Cross multiply
    863.14x = 1,295.19 × 590.02
  4. Step 4: Simplify right side
    863.14x = 764,188.00
  5. Step 5: Solve for x
    x = 764,188.00/863.14
  6. Step 6: Final answer
    x = 885.36

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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.