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Finding the Fourth Proportional to 774.65, 1,162.11 and 281.07

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Solution

The fourth proportional to 774.65, 1,162.11 and 281.07 is: 421.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.65 : 1,162.11 = 281.07 : x
  2. Step 2: Convert to fraction form
    774.65/1,162.11 = 281.07/x
  3. Step 3: Cross multiply
    774.65x = 1,162.11 × 281.07
  4. Step 4: Simplify right side
    774.65x = 326,634.26
  5. Step 5: Solve for x
    x = 326,634.26/774.65
  6. Step 6: Final answer
    x = 421.66

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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.