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Finding the Fourth Proportional to 941.72, 1,299.11 and 817.20

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Solution

The fourth proportional to 941.72, 1,299.11 and 817.20 is: 1,127.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.72 : 1,299.11 = 817.20 : x
  2. Step 2: Convert to fraction form
    941.72/1,299.11 = 817.20/x
  3. Step 3: Cross multiply
    941.72x = 1,299.11 × 817.20
  4. Step 4: Simplify right side
    941.72x = 1,061,628.61
  5. Step 5: Solve for x
    x = 1,061,628.61/941.72
  6. Step 6: Final answer
    x = 1,127.34

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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.