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Finding the Fourth Proportional to 823.15, 1,233.90 and 677.35

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Solution

The fourth proportional to 823.15, 1,233.90 and 677.35 is: 1,015.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.15 : 1,233.90 = 677.35 : x
  2. Step 2: Convert to fraction form
    823.15/1,233.90 = 677.35/x
  3. Step 3: Cross multiply
    823.15x = 1,233.90 × 677.35
  4. Step 4: Simplify right side
    823.15x = 835,776.00
  5. Step 5: Solve for x
    x = 835,776.00/823.15
  6. Step 6: Final answer
    x = 1,015.34

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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.