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Finding the Fourth Proportional to 941.20, 1,409.10 and 833.20

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Solution

The fourth proportional to 941.20, 1,409.10 and 833.20 is: 1,247.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    941.20 : 1,409.10 = 833.20 : x
  2. Step 2: Convert to fraction form
    941.20/1,409.10 = 833.20/x
  3. Step 3: Cross multiply
    941.20x = 1,409.10 × 833.20
  4. Step 4: Simplify right side
    941.20x = 1,174,062.12
  5. Step 5: Solve for x
    x = 1,174,062.12/941.20
  6. Step 6: Final answer
    x = 1,247.41

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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.