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Finding the Fourth Proportional to 1,136.78, 1,568.90 and 639.44

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Solution

The fourth proportional to 1,136.78, 1,568.90 and 639.44 is: 882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,136.78 : 1,568.90 = 639.44 : x
  2. Step 2: Convert to fraction form
    1,136.78/1,568.90 = 639.44/x
  3. Step 3: Cross multiply
    1,136.78x = 1,568.90 × 639.44
  4. Step 4: Simplify right side
    1,136.78x = 1,003,214.22
  5. Step 5: Solve for x
    x = 1,003,214.22/1,136.78
  6. Step 6: Final answer
    x = 882.51

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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.