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Finding the Fourth Proportional to 889.16, 1,226.92 and 516.08

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Solution

The fourth proportional to 889.16, 1,226.92 and 516.08 is: 712.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.16 : 1,226.92 = 516.08 : x
  2. Step 2: Convert to fraction form
    889.16/1,226.92 = 516.08/x
  3. Step 3: Cross multiply
    889.16x = 1,226.92 × 516.08
  4. Step 4: Simplify right side
    889.16x = 633,188.87
  5. Step 5: Solve for x
    x = 633,188.87/889.16
  6. Step 6: Final answer
    x = 712.12

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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.