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Finding the Fourth Proportional to 774.42, 1,162.23 and 531.42

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Solution

The fourth proportional to 774.42, 1,162.23 and 531.42 is: 797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.42 : 1,162.23 = 531.42 : x
  2. Step 2: Convert to fraction form
    774.42/1,162.23 = 531.42/x
  3. Step 3: Cross multiply
    774.42x = 1,162.23 × 531.42
  4. Step 4: Simplify right side
    774.42x = 617,632.27
  5. Step 5: Solve for x
    x = 617,632.27/774.42
  6. Step 6: Final answer
    x = 797.54

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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.