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Finding the Fourth Proportional to 785.20, 1,083.94 and 490.66

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Solution

The fourth proportional to 785.20, 1,083.94 and 490.66 is: 677.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.20 : 1,083.94 = 490.66 : x
  2. Step 2: Convert to fraction form
    785.20/1,083.94 = 490.66/x
  3. Step 3: Cross multiply
    785.20x = 1,083.94 × 490.66
  4. Step 4: Simplify right side
    785.20x = 531,846.00
  5. Step 5: Solve for x
    x = 531,846.00/785.20
  6. Step 6: Final answer
    x = 677.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.