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Finding the Fourth Proportional to 811.43, 1,216.91 and 464.71

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Solution

The fourth proportional to 811.43, 1,216.91 and 464.71 is: 696.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.43 : 1,216.91 = 464.71 : x
  2. Step 2: Convert to fraction form
    811.43/1,216.91 = 464.71/x
  3. Step 3: Cross multiply
    811.43x = 1,216.91 × 464.71
  4. Step 4: Simplify right side
    811.43x = 565,501.84
  5. Step 5: Solve for x
    x = 565,501.84/811.43
  6. Step 6: Final answer
    x = 696.92

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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.