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Finding the Fourth Proportional to 865.20, 1,192.56 and 602.64

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Solution

The fourth proportional to 865.20, 1,192.56 and 602.64 is: 830.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.20 : 1,192.56 = 602.64 : x
  2. Step 2: Convert to fraction form
    865.20/1,192.56 = 602.64/x
  3. Step 3: Cross multiply
    865.20x = 1,192.56 × 602.64
  4. Step 4: Simplify right side
    865.20x = 718,684.36
  5. Step 5: Solve for x
    x = 718,684.36/865.20
  6. Step 6: Final answer
    x = 830.66

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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.