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Finding the Fourth Proportional to 1,650.56, 2,475.47 and 480.29

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Solution

The fourth proportional to 1,650.56, 2,475.47 and 480.29 is: 720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.56 : 2,475.47 = 480.29 : x
  2. Step 2: Convert to fraction form
    1,650.56/2,475.47 = 480.29/x
  3. Step 3: Cross multiply
    1,650.56x = 2,475.47 × 480.29
  4. Step 4: Simplify right side
    1,650.56x = 1,188,932.31
  5. Step 5: Solve for x
    x = 1,188,932.31/1,650.56
  6. Step 6: Final answer
    x = 720.32

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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.