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Finding the Fourth Proportional to 1,119.32, 1,667.72 and 1,056.44

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Solution

The fourth proportional to 1,119.32, 1,667.72 and 1,056.44 is: 1,574.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,119.32 : 1,667.72 = 1,056.44 : x
  2. Step 2: Convert to fraction form
    1,119.32/1,667.72 = 1,056.44/x
  3. Step 3: Cross multiply
    1,119.32x = 1,667.72 × 1,056.44
  4. Step 4: Simplify right side
    1,119.32x = 1,761,844.59
  5. Step 5: Solve for x
    x = 1,761,844.59/1,119.32
  6. Step 6: Final answer
    x = 1,574.04

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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.