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Finding the Fourth Proportional to 851.23, 1,274.73 and 542.17

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Solution

The fourth proportional to 851.23, 1,274.73 and 542.17 is: 811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.23 : 1,274.73 = 542.17 : x
  2. Step 2: Convert to fraction form
    851.23/1,274.73 = 542.17/x
  3. Step 3: Cross multiply
    851.23x = 1,274.73 × 542.17
  4. Step 4: Simplify right side
    851.23x = 691,120.36
  5. Step 5: Solve for x
    x = 691,120.36/851.23
  6. Step 6: Final answer
    x = 811.91

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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.