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Finding the Fourth Proportional to 1,274.23, 1,910.49 and 441.08

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Solution

The fourth proportional to 1,274.23, 1,910.49 and 441.08 is: 661.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.23 : 1,910.49 = 441.08 : x
  2. Step 2: Convert to fraction form
    1,274.23/1,910.49 = 441.08/x
  3. Step 3: Cross multiply
    1,274.23x = 1,910.49 × 441.08
  4. Step 4: Simplify right side
    1,274.23x = 842,674.89
  5. Step 5: Solve for x
    x = 842,674.89/1,274.23
  6. Step 6: Final answer
    x = 661.32

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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.