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Finding the Fourth Proportional to 1,211.64, 1,667.84 and 1,056.12

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Solution

The fourth proportional to 1,211.64, 1,667.84 and 1,056.12 is: 1,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.64 : 1,667.84 = 1,056.12 : x
  2. Step 2: Convert to fraction form
    1,211.64/1,667.84 = 1,056.12/x
  3. Step 3: Cross multiply
    1,211.64x = 1,667.84 × 1,056.12
  4. Step 4: Simplify right side
    1,211.64x = 1,761,439.18
  5. Step 5: Solve for x
    x = 1,761,439.18/1,211.64
  6. Step 6: Final answer
    x = 1,453.76

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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.