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Finding the Fourth Proportional to 811.46, 1,216.64 and 400.80

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Solution

The fourth proportional to 811.46, 1,216.64 and 400.80 is: 600.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.46 : 1,216.64 = 400.80 : x
  2. Step 2: Convert to fraction form
    811.46/1,216.64 = 400.80/x
  3. Step 3: Cross multiply
    811.46x = 1,216.64 × 400.80
  4. Step 4: Simplify right side
    811.46x = 487,629.31
  5. Step 5: Solve for x
    x = 487,629.31/811.46
  6. Step 6: Final answer
    x = 600.93

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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.