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Finding the Fourth Proportional to 776.69, 1,165.08 and 228.86

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Solution

The fourth proportional to 776.69, 1,165.08 and 228.86 is: 343.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.69 : 1,165.08 = 228.86 : x
  2. Step 2: Convert to fraction form
    776.69/1,165.08 = 228.86/x
  3. Step 3: Cross multiply
    776.69x = 1,165.08 × 228.86
  4. Step 4: Simplify right side
    776.69x = 266,634.38
  5. Step 5: Solve for x
    x = 266,634.38/776.69
  6. Step 6: Final answer
    x = 343.30

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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.