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Finding the Fourth Proportional to 768.26, 1,060.17 and 436.64

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Solution

The fourth proportional to 768.26, 1,060.17 and 436.64 is: 602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.26 : 1,060.17 = 436.64 : x
  2. Step 2: Convert to fraction form
    768.26/1,060.17 = 436.64/x
  3. Step 3: Cross multiply
    768.26x = 1,060.17 × 436.64
  4. Step 4: Simplify right side
    768.26x = 462,912.63
  5. Step 5: Solve for x
    x = 462,912.63/768.26
  6. Step 6: Final answer
    x = 602.55

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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.