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Finding the Fourth Proportional to 1,629.75, 2,445.08 and 475.50

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Solution

The fourth proportional to 1,629.75, 2,445.08 and 475.50 is: 713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,629.75 : 2,445.08 = 475.50 : x
  2. Step 2: Convert to fraction form
    1,629.75/2,445.08 = 475.50/x
  3. Step 3: Cross multiply
    1,629.75x = 2,445.08 × 475.50
  4. Step 4: Simplify right side
    1,629.75x = 1,162,633.16
  5. Step 5: Solve for x
    x = 1,162,633.16/1,629.75
  6. Step 6: Final answer
    x = 713.38

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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.