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Finding the Fourth Proportional to 955.40, 1,431.91 and 516.88

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Solution

The fourth proportional to 955.40, 1,431.91 and 516.88 is: 774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.40 : 1,431.91 = 516.88 : x
  2. Step 2: Convert to fraction form
    955.40/1,431.91 = 516.88/x
  3. Step 3: Cross multiply
    955.40x = 1,431.91 × 516.88
  4. Step 4: Simplify right side
    955.40x = 740,128.08
  5. Step 5: Solve for x
    x = 740,128.08/955.40
  6. Step 6: Final answer
    x = 774.68

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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.