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Finding the Fourth Proportional to 1,245.98, 1,868.96 and 321.54

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Solution

The fourth proportional to 1,245.98, 1,868.96 and 321.54 is: 482.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,245.98 : 1,868.96 = 321.54 : x
  2. Step 2: Convert to fraction form
    1,245.98/1,868.96 = 321.54/x
  3. Step 3: Cross multiply
    1,245.98x = 1,868.96 × 321.54
  4. Step 4: Simplify right side
    1,245.98x = 600,943.79
  5. Step 5: Solve for x
    x = 600,943.79/1,245.98
  6. Step 6: Final answer
    x = 482.31

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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.