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Finding the Fourth Proportional to 865.30, 1,193.78 and 533.84

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Solution

The fourth proportional to 865.30, 1,193.78 and 533.84 is: 736.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.30 : 1,193.78 = 533.84 : x
  2. Step 2: Convert to fraction form
    865.30/1,193.78 = 533.84/x
  3. Step 3: Cross multiply
    865.30x = 1,193.78 × 533.84
  4. Step 4: Simplify right side
    865.30x = 637,287.52
  5. Step 5: Solve for x
    x = 637,287.52/865.30
  6. Step 6: Final answer
    x = 736.49

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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.