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Finding the Fourth Proportional to 1,200.27, 1,785.90 and 1,134.66

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Solution

The fourth proportional to 1,200.27, 1,785.90 and 1,134.66 is: 1,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.27 : 1,785.90 = 1,134.66 : x
  2. Step 2: Convert to fraction form
    1,200.27/1,785.90 = 1,134.66/x
  3. Step 3: Cross multiply
    1,200.27x = 1,785.90 × 1,134.66
  4. Step 4: Simplify right side
    1,200.27x = 2,026,383.82
  5. Step 5: Solve for x
    x = 2,026,383.82/1,200.27
  6. Step 6: Final answer
    x = 1,688.28

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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.