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Finding the Fourth Proportional to 941.92, 1,299.73 and 522.22

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Solution

The fourth proportional to 941.92, 1,299.73 and 522.22 is: 720.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.92 : 1,299.73 = 522.22 : x
  2. Step 2: Convert to fraction form
    941.92/1,299.73 = 522.22/x
  3. Step 3: Cross multiply
    941.92x = 1,299.73 × 522.22
  4. Step 4: Simplify right side
    941.92x = 678,748.99
  5. Step 5: Solve for x
    x = 678,748.99/941.92
  6. Step 6: Final answer
    x = 720.60

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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.