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Finding the Fourth Proportional to 889.10, 1,226.97 and 516.30

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Solution

The fourth proportional to 889.10, 1,226.97 and 516.30 is: 712.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.10 : 1,226.97 = 516.30 : x
  2. Step 2: Convert to fraction form
    889.10/1,226.97 = 516.30/x
  3. Step 3: Cross multiply
    889.10x = 1,226.97 × 516.30
  4. Step 4: Simplify right side
    889.10x = 633,482.03
  5. Step 5: Solve for x
    x = 633,482.03/889.10
  6. Step 6: Final answer
    x = 712.50

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Why These Related Problems?

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