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Finding the Fourth Proportional to 1,271.45, 1,907.32 and 449.55

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Solution

The fourth proportional to 1,271.45, 1,907.32 and 449.55 is: 674.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.45 : 1,907.32 = 449.55 : x
  2. Step 2: Convert to fraction form
    1,271.45/1,907.32 = 449.55/x
  3. Step 3: Cross multiply
    1,271.45x = 1,907.32 × 449.55
  4. Step 4: Simplify right side
    1,271.45x = 857,441.60
  5. Step 5: Solve for x
    x = 857,441.60/1,271.45
  6. Step 6: Final answer
    x = 674.38

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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.