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Finding the Fourth Proportional to 1,650.51, 2,475.41 and 480.51

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Solution

The fourth proportional to 1,650.51, 2,475.41 and 480.51 is: 720.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.51 : 2,475.41 = 480.51 : x
  2. Step 2: Convert to fraction form
    1,650.51/2,475.41 = 480.51/x
  3. Step 3: Cross multiply
    1,650.51x = 2,475.41 × 480.51
  4. Step 4: Simplify right side
    1,650.51x = 1,189,456.86
  5. Step 5: Solve for x
    x = 1,189,456.86/1,650.51
  6. Step 6: Final answer
    x = 720.66

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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.