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Finding the Fourth Proportional to 810.22, 1,116.81 and 547.78

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Solution

The fourth proportional to 810.22, 1,116.81 and 547.78 is: 755.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.22 : 1,116.81 = 547.78 : x
  2. Step 2: Convert to fraction form
    810.22/1,116.81 = 547.78/x
  3. Step 3: Cross multiply
    810.22x = 1,116.81 × 547.78
  4. Step 4: Simplify right side
    810.22x = 611,766.18
  5. Step 5: Solve for x
    x = 611,766.18/810.22
  6. Step 6: Final answer
    x = 755.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.