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Finding the Fourth Proportional to 846.14, 1,268.34 and 412.76

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Solution

The fourth proportional to 846.14, 1,268.34 and 412.76 is: 618.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.14 : 1,268.34 = 412.76 : x
  2. Step 2: Convert to fraction form
    846.14/1,268.34 = 412.76/x
  3. Step 3: Cross multiply
    846.14x = 1,268.34 × 412.76
  4. Step 4: Simplify right side
    846.14x = 523,520.02
  5. Step 5: Solve for x
    x = 523,520.02/846.14
  6. Step 6: Final answer
    x = 618.72

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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.