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Finding the Fourth Proportional to 803.37, 1,207.09 and 770.97

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Solution

The fourth proportional to 803.37, 1,207.09 and 770.97 is: 1,158.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.37 : 1,207.09 = 770.97 : x
  2. Step 2: Convert to fraction form
    803.37/1,207.09 = 770.97/x
  3. Step 3: Cross multiply
    803.37x = 1,207.09 × 770.97
  4. Step 4: Simplify right side
    803.37x = 930,630.18
  5. Step 5: Solve for x
    x = 930,630.18/803.37
  6. Step 6: Final answer
    x = 1,158.41

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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.