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Finding the Fourth Proportional to 774.79, 1,161.77 and 445.66

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Solution

The fourth proportional to 774.79, 1,161.77 and 445.66 is: 668.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.79 : 1,161.77 = 445.66 : x
  2. Step 2: Convert to fraction form
    774.79/1,161.77 = 445.66/x
  3. Step 3: Cross multiply
    774.79x = 1,161.77 × 445.66
  4. Step 4: Simplify right side
    774.79x = 517,754.42
  5. Step 5: Solve for x
    x = 517,754.42/774.79
  6. Step 6: Final answer
    x = 668.25

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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.