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Finding the Fourth Proportional to 1,222.89, 1,835.24 and 761.36

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Solution

The fourth proportional to 1,222.89, 1,835.24 and 761.36 is: 1,142.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.89 : 1,835.24 = 761.36 : x
  2. Step 2: Convert to fraction form
    1,222.89/1,835.24 = 761.36/x
  3. Step 3: Cross multiply
    1,222.89x = 1,835.24 × 761.36
  4. Step 4: Simplify right side
    1,222.89x = 1,397,265.34
  5. Step 5: Solve for x
    x = 1,397,265.34/1,222.89
  6. Step 6: Final answer
    x = 1,142.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.