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Finding the Fourth Proportional to 865.53, 1,194.42 and 511.46

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Solution

The fourth proportional to 865.53, 1,194.42 and 511.46 is: 705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.53 : 1,194.42 = 511.46 : x
  2. Step 2: Convert to fraction form
    865.53/1,194.42 = 511.46/x
  3. Step 3: Cross multiply
    865.53x = 1,194.42 × 511.46
  4. Step 4: Simplify right side
    865.53x = 610,898.48
  5. Step 5: Solve for x
    x = 610,898.48/865.53
  6. Step 6: Final answer
    x = 705.81

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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.