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Finding the Fourth Proportional to 1,207.98, 1,813.05 and 823.50

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Solution

The fourth proportional to 1,207.98, 1,813.05 and 823.50 is: 1,235.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.98 : 1,813.05 = 823.50 : x
  2. Step 2: Convert to fraction form
    1,207.98/1,813.05 = 823.50/x
  3. Step 3: Cross multiply
    1,207.98x = 1,813.05 × 823.50
  4. Step 4: Simplify right side
    1,207.98x = 1,493,046.68
  5. Step 5: Solve for x
    x = 1,493,046.68/1,207.98
  6. Step 6: Final answer
    x = 1,235.99

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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.