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Finding the Fourth Proportional to 811.87, 1,216.66 and 464.68

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Solution

The fourth proportional to 811.87, 1,216.66 and 464.68 is: 696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.87 : 1,216.66 = 464.68 : x
  2. Step 2: Convert to fraction form
    811.87/1,216.66 = 464.68/x
  3. Step 3: Cross multiply
    811.87x = 1,216.66 × 464.68
  4. Step 4: Simplify right side
    811.87x = 565,357.57
  5. Step 5: Solve for x
    x = 565,357.57/811.87
  6. Step 6: Final answer
    x = 696.36

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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.