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Finding the Fourth Proportional to 774.16, 1,162.45 and 449.75

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Solution

The fourth proportional to 774.16, 1,162.45 and 449.75 is: 675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.16 : 1,162.45 = 449.75 : x
  2. Step 2: Convert to fraction form
    774.16/1,162.45 = 449.75/x
  3. Step 3: Cross multiply
    774.16x = 1,162.45 × 449.75
  4. Step 4: Simplify right side
    774.16x = 522,811.89
  5. Step 5: Solve for x
    x = 522,811.89/774.16
  6. Step 6: Final answer
    x = 675.33

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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.