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Finding the Fourth Proportional to 832, 1,147 and 713.48

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Solution

The fourth proportional to 832, 1,147 and 713.48 is: 983.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    832 : 1,147 = 713.48 : x
  2. Step 2: Convert to fraction form
    832/1,147 = 713.48/x
  3. Step 3: Cross multiply
    832x = 1,147 × 713.48
  4. Step 4: Simplify right side
    832x = 818,361.56
  5. Step 5: Solve for x
    x = 818,361.56/832
  6. Step 6: Final answer
    x = 983.61

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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.