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Finding the Fourth Proportional to 837.34, 1,153.24 and 786.31

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Solution

The fourth proportional to 837.34, 1,153.24 and 786.31 is: 1,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.34 : 1,153.24 = 786.31 : x
  2. Step 2: Convert to fraction form
    837.34/1,153.24 = 786.31/x
  3. Step 3: Cross multiply
    837.34x = 1,153.24 × 786.31
  4. Step 4: Simplify right side
    837.34x = 906,804.14
  5. Step 5: Solve for x
    x = 906,804.14/837.34
  6. Step 6: Final answer
    x = 1,082.96

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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.