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Finding the Fourth Proportional to 863.00, 1,190.94 and 470.02

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Solution

The fourth proportional to 863.00, 1,190.94 and 470.02 is: 648.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.00 : 1,190.94 = 470.02 : x
  2. Step 2: Convert to fraction form
    863.00/1,190.94 = 470.02/x
  3. Step 3: Cross multiply
    863.00x = 1,190.94 × 470.02
  4. Step 4: Simplify right side
    863.00x = 559,767.61
  5. Step 5: Solve for x
    x = 559,767.61/863.00
  6. Step 6: Final answer
    x = 648.63

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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.