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Finding the Fourth Proportional to 1,099.38, 1,649.27 and 522.25

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Solution

The fourth proportional to 1,099.38, 1,649.27 and 522.25 is: 783.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.38 : 1,649.27 = 522.25 : x
  2. Step 2: Convert to fraction form
    1,099.38/1,649.27 = 522.25/x
  3. Step 3: Cross multiply
    1,099.38x = 1,649.27 × 522.25
  4. Step 4: Simplify right side
    1,099.38x = 861,331.26
  5. Step 5: Solve for x
    x = 861,331.26/1,099.38
  6. Step 6: Final answer
    x = 783.47

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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.