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Finding the Fourth Proportional to 1,089.04, 1,633.24 and 844.56

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Solution

The fourth proportional to 1,089.04, 1,633.24 and 844.56 is: 1,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.04 : 1,633.24 = 844.56 : x
  2. Step 2: Convert to fraction form
    1,089.04/1,633.24 = 844.56/x
  3. Step 3: Cross multiply
    1,089.04x = 1,633.24 × 844.56
  4. Step 4: Simplify right side
    1,089.04x = 1,379,369.17
  5. Step 5: Solve for x
    x = 1,379,369.17/1,089.04
  6. Step 6: Final answer
    x = 1,266.59

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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.