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Finding the Fourth Proportional to 811.16, 1,119.50 and 461.87

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Solution

The fourth proportional to 811.16, 1,119.50 and 461.87 is: 637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    811.16 : 1,119.50 = 461.87 : x
  2. Step 2: Convert to fraction form
    811.16/1,119.50 = 461.87/x
  3. Step 3: Cross multiply
    811.16x = 1,119.50 × 461.87
  4. Step 4: Simplify right side
    811.16x = 517,055.56
  5. Step 5: Solve for x
    x = 517,055.56/811.16
  6. Step 6: Final answer
    x = 637.43

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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.