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Finding the Fourth Proportional to 1,122.23, 1,682.61 and 505.82

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Solution

The fourth proportional to 1,122.23, 1,682.61 and 505.82 is: 758.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.23 : 1,682.61 = 505.82 : x
  2. Step 2: Convert to fraction form
    1,122.23/1,682.61 = 505.82/x
  3. Step 3: Cross multiply
    1,122.23x = 1,682.61 × 505.82
  4. Step 4: Simplify right side
    1,122.23x = 851,089.38
  5. Step 5: Solve for x
    x = 851,089.38/1,122.23
  6. Step 6: Final answer
    x = 758.39

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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.