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Finding the Fourth Proportional to 865.21, 1,194.02 and 533.86

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Solution

The fourth proportional to 865.21, 1,194.02 and 533.86 is: 736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.21 : 1,194.02 = 533.86 : x
  2. Step 2: Convert to fraction form
    865.21/1,194.02 = 533.86/x
  3. Step 3: Cross multiply
    865.21x = 1,194.02 × 533.86
  4. Step 4: Simplify right side
    865.21x = 637,439.52
  5. Step 5: Solve for x
    x = 637,439.52/865.21
  6. Step 6: Final answer
    x = 736.75

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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.