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Finding the Fourth Proportional to 911.85, 1,369.13 and 522.29

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Solution

The fourth proportional to 911.85, 1,369.13 and 522.29 is: 784.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.85 : 1,369.13 = 522.29 : x
  2. Step 2: Convert to fraction form
    911.85/1,369.13 = 522.29/x
  3. Step 3: Cross multiply
    911.85x = 1,369.13 × 522.29
  4. Step 4: Simplify right side
    911.85x = 715,078.96
  5. Step 5: Solve for x
    x = 715,078.96/911.85
  6. Step 6: Final answer
    x = 784.21

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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.