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Finding the Fourth Proportional to 811.22, 1,119.50 and 461.91

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Solution

The fourth proportional to 811.22, 1,119.50 and 461.91 is: 637.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.22 : 1,119.50 = 461.91 : x
  2. Step 2: Convert to fraction form
    811.22/1,119.50 = 461.91/x
  3. Step 3: Cross multiply
    811.22x = 1,119.50 × 461.91
  4. Step 4: Simplify right side
    811.22x = 517,105.94
  5. Step 5: Solve for x
    x = 517,105.94/811.22
  6. Step 6: Final answer
    x = 637.45

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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.