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Finding the Fourth Proportional to 811.04, 1,215.66 and 518.20

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Solution

The fourth proportional to 811.04, 1,215.66 and 518.20 is: 776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.04 : 1,215.66 = 518.20 : x
  2. Step 2: Convert to fraction form
    811.04/1,215.66 = 518.20/x
  3. Step 3: Cross multiply
    811.04x = 1,215.66 × 518.20
  4. Step 4: Simplify right side
    811.04x = 629,955.01
  5. Step 5: Solve for x
    x = 629,955.01/811.04
  6. Step 6: Final answer
    x = 776.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.