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Finding the Fourth Proportional to 1,272, 1,909.36 and 541.92

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Solution

The fourth proportional to 1,272, 1,909.36 and 541.92 is: 813.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272 : 1,909.36 = 541.92 : x
  2. Step 2: Convert to fraction form
    1,272/1,909.36 = 541.92/x
  3. Step 3: Cross multiply
    1,272x = 1,909.36 × 541.92
  4. Step 4: Simplify right side
    1,272x = 1,034,720.37
  5. Step 5: Solve for x
    x = 1,034,720.37/1,272
  6. Step 6: Final answer
    x = 813.46

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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.