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Finding the Fourth Proportional to 1,271.42, 1,907.55 and 541.61

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Solution

The fourth proportional to 1,271.42, 1,907.55 and 541.61 is: 812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271.42 : 1,907.55 = 541.61 : x
  2. Step 2: Convert to fraction form
    1,271.42/1,907.55 = 541.61/x
  3. Step 3: Cross multiply
    1,271.42x = 1,907.55 × 541.61
  4. Step 4: Simplify right side
    1,271.42x = 1,033,148.16
  5. Step 5: Solve for x
    x = 1,033,148.16/1,271.42
  6. Step 6: Final answer
    x = 812.59

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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.