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Finding the Fourth Proportional to 1,480.57, 2,219.37 and 506.00

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Solution

The fourth proportional to 1,480.57, 2,219.37 and 506.00 is: 758.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.57 : 2,219.37 = 506.00 : x
  2. Step 2: Convert to fraction form
    1,480.57/2,219.37 = 506.00/x
  3. Step 3: Cross multiply
    1,480.57x = 2,219.37 × 506.00
  4. Step 4: Simplify right side
    1,480.57x = 1,123,004.87
  5. Step 5: Solve for x
    x = 1,123,004.87/1,480.57
  6. Step 6: Final answer
    x = 758.50

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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.