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Finding the Fourth Proportional to 865.37, 1,193.30 and 706.82

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Solution

The fourth proportional to 865.37, 1,193.30 and 706.82 is: 974.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.37 : 1,193.30 = 706.82 : x
  2. Step 2: Convert to fraction form
    865.37/1,193.30 = 706.82/x
  3. Step 3: Cross multiply
    865.37x = 1,193.30 × 706.82
  4. Step 4: Simplify right side
    865.37x = 843,441.46
  5. Step 5: Solve for x
    x = 843,441.46/865.37
  6. Step 6: Final answer
    x = 974.66

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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.