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Finding the Fourth Proportional to 1,076.12, 1,485.30 and 683.72

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Solution

The fourth proportional to 1,076.12, 1,485.30 and 683.72 is: 943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.12 : 1,485.30 = 683.72 : x
  2. Step 2: Convert to fraction form
    1,076.12/1,485.30 = 683.72/x
  3. Step 3: Cross multiply
    1,076.12x = 1,485.30 × 683.72
  4. Step 4: Simplify right side
    1,076.12x = 1,015,529.32
  5. Step 5: Solve for x
    x = 1,015,529.32/1,076.12
  6. Step 6: Final answer
    x = 943.70

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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.