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Finding the Fourth Proportional to 865.37, 1,193.81 and 511.05

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Solution

The fourth proportional to 865.37, 1,193.81 and 511.05 is: 705.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.37 : 1,193.81 = 511.05 : x
  2. Step 2: Convert to fraction form
    865.37/1,193.81 = 511.05/x
  3. Step 3: Cross multiply
    865.37x = 1,193.81 × 511.05
  4. Step 4: Simplify right side
    865.37x = 610,096.60
  5. Step 5: Solve for x
    x = 610,096.60/865.37
  6. Step 6: Final answer
    x = 705.01

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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.