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Finding the Fourth Proportional to 774.85, 1,161.50 and 312.49

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Solution

The fourth proportional to 774.85, 1,161.50 and 312.49 is: 468.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.85 : 1,161.50 = 312.49 : x
  2. Step 2: Convert to fraction form
    774.85/1,161.50 = 312.49/x
  3. Step 3: Cross multiply
    774.85x = 1,161.50 × 312.49
  4. Step 4: Simplify right side
    774.85x = 362,954.64
  5. Step 5: Solve for x
    x = 362,954.64/774.85
  6. Step 6: Final answer
    x = 468.42

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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.