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Finding the Fourth Proportional to 776.67, 1,165.02 and 199.53

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Solution

The fourth proportional to 776.67, 1,165.02 and 199.53 is: 299.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.67 : 1,165.02 = 199.53 : x
  2. Step 2: Convert to fraction form
    776.67/1,165.02 = 199.53/x
  3. Step 3: Cross multiply
    776.67x = 1,165.02 × 199.53
  4. Step 4: Simplify right side
    776.67x = 232,456.44
  5. Step 5: Solve for x
    x = 232,456.44/776.67
  6. Step 6: Final answer
    x = 299.30

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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.