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Finding the Fourth Proportional to 860.90, 1,291.19 and 613.31

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Solution

The fourth proportional to 860.90, 1,291.19 and 613.31 is: 919.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.90 : 1,291.19 = 613.31 : x
  2. Step 2: Convert to fraction form
    860.90/1,291.19 = 613.31/x
  3. Step 3: Cross multiply
    860.90x = 1,291.19 × 613.31
  4. Step 4: Simplify right side
    860.90x = 791,890.22
  5. Step 5: Solve for x
    x = 791,890.22/860.90
  6. Step 6: Final answer
    x = 919.85

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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.