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Finding the Fourth Proportional to 860.68, 1,291.02 and 211.41

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Solution

The fourth proportional to 860.68, 1,291.02 and 211.41 is: 317.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.68 : 1,291.02 = 211.41 : x
  2. Step 2: Convert to fraction form
    860.68/1,291.02 = 211.41/x
  3. Step 3: Cross multiply
    860.68x = 1,291.02 × 211.41
  4. Step 4: Simplify right side
    860.68x = 272,934.54
  5. Step 5: Solve for x
    x = 272,934.54/860.68
  6. Step 6: Final answer
    x = 317.12

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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.