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Finding the Fourth Proportional to 846.12, 1,269 and 260.99

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Solution

The fourth proportional to 846.12, 1,269 and 260.99 is: 391.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.12 : 1,269 = 260.99 : x
  2. Step 2: Convert to fraction form
    846.12/1,269 = 260.99/x
  3. Step 3: Cross multiply
    846.12x = 1,269 × 260.99
  4. Step 4: Simplify right side
    846.12x = 331,196.31
  5. Step 5: Solve for x
    x = 331,196.31/846.12
  6. Step 6: Final answer
    x = 391.43

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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.