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Finding the Fourth Proportional to 1,274.70, 1,911.90 and 441.66

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Solution

The fourth proportional to 1,274.70, 1,911.90 and 441.66 is: 662.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.70 : 1,911.90 = 441.66 : x
  2. Step 2: Convert to fraction form
    1,274.70/1,911.90 = 441.66/x
  3. Step 3: Cross multiply
    1,274.70x = 1,911.90 × 441.66
  4. Step 4: Simplify right side
    1,274.70x = 844,409.75
  5. Step 5: Solve for x
    x = 844,409.75/1,274.70
  6. Step 6: Final answer
    x = 662.44

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1.5x scale

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.