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Finding the Fourth Proportional to 1,272.72, 1,908.60 and 542.64

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Solution

The fourth proportional to 1,272.72, 1,908.60 and 542.64 is: 813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.72 : 1,908.60 = 542.64 : x
  2. Step 2: Convert to fraction form
    1,272.72/1,908.60 = 542.64/x
  3. Step 3: Cross multiply
    1,272.72x = 1,908.60 × 542.64
  4. Step 4: Simplify right side
    1,272.72x = 1,035,682.70
  5. Step 5: Solve for x
    x = 1,035,682.70/1,272.72
  6. Step 6: Final answer
    x = 813.76

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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.