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Finding the Fourth Proportional to 1,141.49, 1,575.70 and 842.22

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Solution

The fourth proportional to 1,141.49, 1,575.70 and 842.22 is: 1,162.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.49 : 1,575.70 = 842.22 : x
  2. Step 2: Convert to fraction form
    1,141.49/1,575.70 = 842.22/x
  3. Step 3: Cross multiply
    1,141.49x = 1,575.70 × 842.22
  4. Step 4: Simplify right side
    1,141.49x = 1,327,093.12
  5. Step 5: Solve for x
    x = 1,327,093.12/1,141.49
  6. Step 6: Final answer
    x = 1,162.59

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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.