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Finding the Fourth Proportional to 860.68, 1,291.09 and 516.36

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Solution

The fourth proportional to 860.68, 1,291.09 and 516.36 is: 774.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.68 : 1,291.09 = 516.36 : x
  2. Step 2: Convert to fraction form
    860.68/1,291.09 = 516.36/x
  3. Step 3: Cross multiply
    860.68x = 1,291.09 × 516.36
  4. Step 4: Simplify right side
    860.68x = 666,667.23
  5. Step 5: Solve for x
    x = 666,667.23/860.68
  6. Step 6: Final answer
    x = 774.58

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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.