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Finding the Fourth Proportional to 1,531.03, 2,112.84 and 832.42

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Solution

The fourth proportional to 1,531.03, 2,112.84 and 832.42 is: 1,148.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531.03 : 2,112.84 = 832.42 : x
  2. Step 2: Convert to fraction form
    1,531.03/2,112.84 = 832.42/x
  3. Step 3: Cross multiply
    1,531.03x = 2,112.84 × 832.42
  4. Step 4: Simplify right side
    1,531.03x = 1,758,770.27
  5. Step 5: Solve for x
    x = 1,758,770.27/1,531.03
  6. Step 6: Final answer
    x = 1,148.75

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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.