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Finding the Fourth Proportional to 776.98, 1,165.11 and 452.44

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Solution

The fourth proportional to 776.98, 1,165.11 and 452.44 is: 678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.98 : 1,165.11 = 452.44 : x
  2. Step 2: Convert to fraction form
    776.98/1,165.11 = 452.44/x
  3. Step 3: Cross multiply
    776.98x = 1,165.11 × 452.44
  4. Step 4: Simplify right side
    776.98x = 527,142.37
  5. Step 5: Solve for x
    x = 527,142.37/776.98
  6. Step 6: Final answer
    x = 678.45

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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.