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Finding the Fourth Proportional to 887.14, 1,329.22 and 522.24

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Solution

The fourth proportional to 887.14, 1,329.22 and 522.24 is: 782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.14 : 1,329.22 = 522.24 : x
  2. Step 2: Convert to fraction form
    887.14/1,329.22 = 522.24/x
  3. Step 3: Cross multiply
    887.14x = 1,329.22 × 522.24
  4. Step 4: Simplify right side
    887.14x = 694,171.85
  5. Step 5: Solve for x
    x = 694,171.85/887.14
  6. Step 6: Final answer
    x = 782.48

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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.