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Finding the Fourth Proportional to 906.09, 1,358.04 and 516.42

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Solution

The fourth proportional to 906.09, 1,358.04 and 516.42 is: 774.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.09 : 1,358.04 = 516.42 : x
  2. Step 2: Convert to fraction form
    906.09/1,358.04 = 516.42/x
  3. Step 3: Cross multiply
    906.09x = 1,358.04 × 516.42
  4. Step 4: Simplify right side
    906.09x = 701,319.02
  5. Step 5: Solve for x
    x = 701,319.02/906.09
  6. Step 6: Final answer
    x = 774.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.