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Finding the Fourth Proportional to 1,271.74, 1,907.46 and 449.98

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Solution

The fourth proportional to 1,271.74, 1,907.46 and 449.98 is: 674.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.74 : 1,907.46 = 449.98 : x
  2. Step 2: Convert to fraction form
    1,271.74/1,907.46 = 449.98/x
  3. Step 3: Cross multiply
    1,271.74x = 1,907.46 × 449.98
  4. Step 4: Simplify right side
    1,271.74x = 858,318.85
  5. Step 5: Solve for x
    x = 858,318.85/1,271.74
  6. Step 6: Final answer
    x = 674.92

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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.