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Finding the Fourth Proportional to 1,371.94, 2,058.01 and 506.25

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Solution

The fourth proportional to 1,371.94, 2,058.01 and 506.25 is: 759.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.94 : 2,058.01 = 506.25 : x
  2. Step 2: Convert to fraction form
    1,371.94/2,058.01 = 506.25/x
  3. Step 3: Cross multiply
    1,371.94x = 2,058.01 × 506.25
  4. Step 4: Simplify right side
    1,371.94x = 1,041,866.30
  5. Step 5: Solve for x
    x = 1,041,866.30/1,371.94
  6. Step 6: Final answer
    x = 759.41

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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.