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Finding the Fourth Proportional to 1,271.93, 1,908.05 and 450.04

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Solution

The fourth proportional to 1,271.93, 1,908.05 and 450.04 is: 675.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.93 : 1,908.05 = 450.04 : x
  2. Step 2: Convert to fraction form
    1,271.93/1,908.05 = 450.04/x
  3. Step 3: Cross multiply
    1,271.93x = 1,908.05 × 450.04
  4. Step 4: Simplify right side
    1,271.93x = 858,687.03
  5. Step 5: Solve for x
    x = 858,687.03/1,271.93
  6. Step 6: Final answer
    x = 675.11

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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.