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Finding the Fourth Proportional to 1,122.12, 1,682.06 and 536.96

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Solution

The fourth proportional to 1,122.12, 1,682.06 and 536.96 is: 804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,122.12 : 1,682.06 = 536.96 : x
  2. Step 2: Convert to fraction form
    1,122.12/1,682.06 = 536.96/x
  3. Step 3: Cross multiply
    1,122.12x = 1,682.06 × 536.96
  4. Step 4: Simplify right side
    1,122.12x = 903,198.94
  5. Step 5: Solve for x
    x = 903,198.94/1,122.12
  6. Step 6: Final answer
    x = 804.90

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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.