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Finding the Fourth Proportional to 1,371.90, 2,057.31 and 506.01

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Solution

The fourth proportional to 1,371.90, 2,057.31 and 506.01 is: 758.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.90 : 2,057.31 = 506.01 : x
  2. Step 2: Convert to fraction form
    1,371.90/2,057.31 = 506.01/x
  3. Step 3: Cross multiply
    1,371.90x = 2,057.31 × 506.01
  4. Step 4: Simplify right side
    1,371.90x = 1,041,019.43
  5. Step 5: Solve for x
    x = 1,041,019.43/1,371.90
  6. Step 6: Final answer
    x = 758.82

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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.