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Finding the Fourth Proportional to 1,076.77, 1,485.84 and 683.92

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Solution

The fourth proportional to 1,076.77, 1,485.84 and 683.92 is: 943.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.77 : 1,485.84 = 683.92 : x
  2. Step 2: Convert to fraction form
    1,076.77/1,485.84 = 683.92/x
  3. Step 3: Cross multiply
    1,076.77x = 1,485.84 × 683.92
  4. Step 4: Simplify right side
    1,076.77x = 1,016,195.69
  5. Step 5: Solve for x
    x = 1,016,195.69/1,076.77
  6. Step 6: Final answer
    x = 943.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.