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Finding the Fourth Proportional to 1,271.66, 1,906.94 and 406.04

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Solution

The fourth proportional to 1,271.66, 1,906.94 and 406.04 is: 608.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.66 : 1,906.94 = 406.04 : x
  2. Step 2: Convert to fraction form
    1,271.66/1,906.94 = 406.04/x
  3. Step 3: Cross multiply
    1,271.66x = 1,906.94 × 406.04
  4. Step 4: Simplify right side
    1,271.66x = 774,293.92
  5. Step 5: Solve for x
    x = 774,293.92/1,271.66
  6. Step 6: Final answer
    x = 608.88

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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.