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Finding the Fourth Proportional to 899.82, 1,349.78 and 770.67

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Solution

The fourth proportional to 899.82, 1,349.78 and 770.67 is: 1,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.82 : 1,349.78 = 770.67 : x
  2. Step 2: Convert to fraction form
    899.82/1,349.78 = 770.67/x
  3. Step 3: Cross multiply
    899.82x = 1,349.78 × 770.67
  4. Step 4: Simplify right side
    899.82x = 1,040,231.10
  5. Step 5: Solve for x
    x = 1,040,231.10/899.82
  6. Step 6: Final answer
    x = 1,156.04

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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.