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Finding the Fourth Proportional to 776.26, 1,162.84 and 467.95

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Solution

The fourth proportional to 776.26, 1,162.84 and 467.95 is: 700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    776.26 : 1,162.84 = 467.95 : x
  2. Step 2: Convert to fraction form
    776.26/1,162.84 = 467.95/x
  3. Step 3: Cross multiply
    776.26x = 1,162.84 × 467.95
  4. Step 4: Simplify right side
    776.26x = 544,150.98
  5. Step 5: Solve for x
    x = 544,150.98/776.26
  6. Step 6: Final answer
    x = 700.99

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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.