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Finding the Fourth Proportional to 809.86, 1,206.75 and 770.68

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Solution

The fourth proportional to 809.86, 1,206.75 and 770.68 is: 1,148.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.86 : 1,206.75 = 770.68 : x
  2. Step 2: Convert to fraction form
    809.86/1,206.75 = 770.68/x
  3. Step 3: Cross multiply
    809.86x = 1,206.75 × 770.68
  4. Step 4: Simplify right side
    809.86x = 930,018.09
  5. Step 5: Solve for x
    x = 930,018.09/809.86
  6. Step 6: Final answer
    x = 1,148.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.