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Finding the Fourth Proportional to 911.02, 1,367.58 and 522.49

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Solution

The fourth proportional to 911.02, 1,367.58 and 522.49 is: 784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.02 : 1,367.58 = 522.49 : x
  2. Step 2: Convert to fraction form
    911.02/1,367.58 = 522.49/x
  3. Step 3: Cross multiply
    911.02x = 1,367.58 × 522.49
  4. Step 4: Simplify right side
    911.02x = 714,546.87
  5. Step 5: Solve for x
    x = 714,546.87/911.02
  6. Step 6: Final answer
    x = 784.34

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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.