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Finding the Fourth Proportional to 749.64, 1,033.62 and 683.88

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Solution

The fourth proportional to 749.64, 1,033.62 and 683.88 is: 942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.64 : 1,033.62 = 683.88 : x
  2. Step 2: Convert to fraction form
    749.64/1,033.62 = 683.88/x
  3. Step 3: Cross multiply
    749.64x = 1,033.62 × 683.88
  4. Step 4: Simplify right side
    749.64x = 706,872.05
  5. Step 5: Solve for x
    x = 706,872.05/749.64
  6. Step 6: Final answer
    x = 942.95

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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.