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Finding the Fourth Proportional to 893.61, 1,232.25 and 706.82

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Solution

The fourth proportional to 893.61, 1,232.25 and 706.82 is: 974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.61 : 1,232.25 = 706.82 : x
  2. Step 2: Convert to fraction form
    893.61/1,232.25 = 706.82/x
  3. Step 3: Cross multiply
    893.61x = 1,232.25 × 706.82
  4. Step 4: Simplify right side
    893.61x = 870,972.78
  5. Step 5: Solve for x
    x = 870,972.78/893.61
  6. Step 6: Final answer
    x = 974.67

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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.