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Finding the Fourth Proportional to 774.21, 1,161.78 and 466.65

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Solution

The fourth proportional to 774.21, 1,161.78 and 466.65 is: 700.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.21 : 1,161.78 = 466.65 : x
  2. Step 2: Convert to fraction form
    774.21/1,161.78 = 466.65/x
  3. Step 3: Cross multiply
    774.21x = 1,161.78 × 466.65
  4. Step 4: Simplify right side
    774.21x = 542,144.64
  5. Step 5: Solve for x
    x = 542,144.64/774.21
  6. Step 6: Final answer
    x = 700.26

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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.