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Finding the Fourth Proportional to 770.85, 1,155.13 and 606.49

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Solution

The fourth proportional to 770.85, 1,155.13 and 606.49 is: 908.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.85 : 1,155.13 = 606.49 : x
  2. Step 2: Convert to fraction form
    770.85/1,155.13 = 606.49/x
  3. Step 3: Cross multiply
    770.85x = 1,155.13 × 606.49
  4. Step 4: Simplify right side
    770.85x = 700,570.39
  5. Step 5: Solve for x
    x = 700,570.39/770.85
  6. Step 6: Final answer
    x = 908.83

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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.