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Finding the Fourth Proportional to 1,371.38, 2,056.11 and 505.46

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Solution

The fourth proportional to 1,371.38, 2,056.11 and 505.46 is: 757.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.38 : 2,056.11 = 505.46 : x
  2. Step 2: Convert to fraction form
    1,371.38/2,056.11 = 505.46/x
  3. Step 3: Cross multiply
    1,371.38x = 2,056.11 × 505.46
  4. Step 4: Simplify right side
    1,371.38x = 1,039,281.36
  5. Step 5: Solve for x
    x = 1,039,281.36/1,371.38
  6. Step 6: Final answer
    x = 757.84

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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.