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Finding the Fourth Proportional to 811.22, 1,216.72 and 463.43

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Solution

The fourth proportional to 811.22, 1,216.72 and 463.43 is: 695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.22 : 1,216.72 = 463.43 : x
  2. Step 2: Convert to fraction form
    811.22/1,216.72 = 463.43/x
  3. Step 3: Cross multiply
    811.22x = 1,216.72 × 463.43
  4. Step 4: Simplify right side
    811.22x = 563,857.31
  5. Step 5: Solve for x
    x = 563,857.31/811.22
  6. Step 6: Final answer
    x = 695.07

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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.