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Finding the Fourth Proportional to 1,235.34, 1,704.81 and 832.11

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Solution

The fourth proportional to 1,235.34, 1,704.81 and 832.11 is: 1,148.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,235.34 : 1,704.81 = 832.11 : x
  2. Step 2: Convert to fraction form
    1,235.34/1,704.81 = 832.11/x
  3. Step 3: Cross multiply
    1,235.34x = 1,704.81 × 832.11
  4. Step 4: Simplify right side
    1,235.34x = 1,418,589.45
  5. Step 5: Solve for x
    x = 1,418,589.45/1,235.34
  6. Step 6: Final answer
    x = 1,148.34

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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.