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Finding the Fourth Proportional to 1,650.65, 2,475.77 and 480.60

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Solution

The fourth proportional to 1,650.65, 2,475.77 and 480.60 is: 720.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,650.65 : 2,475.77 = 480.60 : x
  2. Step 2: Convert to fraction form
    1,650.65/2,475.77 = 480.60/x
  3. Step 3: Cross multiply
    1,650.65x = 2,475.77 × 480.60
  4. Step 4: Simplify right side
    1,650.65x = 1,189,852.66
  5. Step 5: Solve for x
    x = 1,189,852.66/1,650.65
  6. Step 6: Final answer
    x = 720.84

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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.