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Finding the Fourth Proportional to 860.27, 1,289.96 and 421.55

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Solution

The fourth proportional to 860.27, 1,289.96 and 421.55 is: 632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.27 : 1,289.96 = 421.55 : x
  2. Step 2: Convert to fraction form
    860.27/1,289.96 = 421.55/x
  3. Step 3: Cross multiply
    860.27x = 1,289.96 × 421.55
  4. Step 4: Simplify right side
    860.27x = 543,782.64
  5. Step 5: Solve for x
    x = 543,782.64/860.27
  6. Step 6: Final answer
    x = 632.11

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