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Finding the Fourth Proportional to 1,200.76, 1,791.97 and 1,051.86

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Solution

The fourth proportional to 1,200.76, 1,791.97 and 1,051.86 is: 1,569.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.76 : 1,791.97 = 1,051.86 : x
  2. Step 2: Convert to fraction form
    1,200.76/1,791.97 = 1,051.86/x
  3. Step 3: Cross multiply
    1,200.76x = 1,791.97 × 1,051.86
  4. Step 4: Simplify right side
    1,200.76x = 1,884,901.56
  5. Step 5: Solve for x
    x = 1,884,901.56/1,200.76
  6. Step 6: Final answer
    x = 1,569.76

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.