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Finding the Fourth Proportional to 1,271.92, 1,907.09 and 717.43

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Solution

The fourth proportional to 1,271.92, 1,907.09 and 717.43 is: 1,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.92 : 1,907.09 = 717.43 : x
  2. Step 2: Convert to fraction form
    1,271.92/1,907.09 = 717.43/x
  3. Step 3: Cross multiply
    1,271.92x = 1,907.09 × 717.43
  4. Step 4: Simplify right side
    1,271.92x = 1,368,190.46
  5. Step 5: Solve for x
    x = 1,368,190.46/1,271.92
  6. Step 6: Final answer
    x = 1,075.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.