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Finding the Fourth Proportional to 846.85, 1,271.07 and 436.27

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Solution

The fourth proportional to 846.85, 1,271.07 and 436.27 is: 654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.85 : 1,271.07 = 436.27 : x
  2. Step 2: Convert to fraction form
    846.85/1,271.07 = 436.27/x
  3. Step 3: Cross multiply
    846.85x = 1,271.07 × 436.27
  4. Step 4: Simplify right side
    846.85x = 554,523.35
  5. Step 5: Solve for x
    x = 554,523.35/846.85
  6. Step 6: Final answer
    x = 654.81

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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.