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Finding the Fourth Proportional to 825.32, 1,231.34 and 786.14

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Solution

The fourth proportional to 825.32, 1,231.34 and 786.14 is: 1,172.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.32 : 1,231.34 = 786.14 : x
  2. Step 2: Convert to fraction form
    825.32/1,231.34 = 786.14/x
  3. Step 3: Cross multiply
    825.32x = 1,231.34 × 786.14
  4. Step 4: Simplify right side
    825.32x = 968,005.63
  5. Step 5: Solve for x
    x = 968,005.63/825.32
  6. Step 6: Final answer
    x = 1,172.89

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.