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Finding the Fourth Proportional to 860.47, 1,291.62 and 514.21

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Solution

The fourth proportional to 860.47, 1,291.62 and 514.21 is: 771.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.47 : 1,291.62 = 514.21 : x
  2. Step 2: Convert to fraction form
    860.47/1,291.62 = 514.21/x
  3. Step 3: Cross multiply
    860.47x = 1,291.62 × 514.21
  4. Step 4: Simplify right side
    860.47x = 664,163.92
  5. Step 5: Solve for x
    x = 664,163.92/860.47
  6. Step 6: Final answer
    x = 771.86

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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.