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Finding the Fourth Proportional to 1,234.98, 1,852.49 and 504.05

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Solution

The fourth proportional to 1,234.98, 1,852.49 and 504.05 is: 756.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234.98 : 1,852.49 = 504.05 : x
  2. Step 2: Convert to fraction form
    1,234.98/1,852.49 = 504.05/x
  3. Step 3: Cross multiply
    1,234.98x = 1,852.49 × 504.05
  4. Step 4: Simplify right side
    1,234.98x = 933,735.80
  5. Step 5: Solve for x
    x = 933,735.80/1,234.98
  6. Step 6: Final answer
    x = 756.07

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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.