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Finding the Fourth Proportional to 1,371.33, 2,056.73 and 505.44

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Solution

The fourth proportional to 1,371.33, 2,056.73 and 505.44 is: 758.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.33 : 2,056.73 = 505.44 : x
  2. Step 2: Convert to fraction form
    1,371.33/2,056.73 = 505.44/x
  3. Step 3: Cross multiply
    1,371.33x = 2,056.73 × 505.44
  4. Step 4: Simplify right side
    1,371.33x = 1,039,551.08
  5. Step 5: Solve for x
    x = 1,039,551.08/1,371.33
  6. Step 6: Final answer
    x = 758.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.