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Finding the Fourth Proportional to 786.37, 1,084.91 and 550.69

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Solution

The fourth proportional to 786.37, 1,084.91 and 550.69 is: 759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.37 : 1,084.91 = 550.69 : x
  2. Step 2: Convert to fraction form
    786.37/1,084.91 = 550.69/x
  3. Step 3: Cross multiply
    786.37x = 1,084.91 × 550.69
  4. Step 4: Simplify right side
    786.37x = 597,447.69
  5. Step 5: Solve for x
    x = 597,447.69/786.37
  6. Step 6: Final answer
    x = 759.76

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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.