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Finding the Fourth Proportional to 847.41, 1,168.90 and 516.06

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Solution

The fourth proportional to 847.41, 1,168.90 and 516.06 is: 711.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    847.41 : 1,168.90 = 516.06 : x
  2. Step 2: Convert to fraction form
    847.41/1,168.90 = 516.06/x
  3. Step 3: Cross multiply
    847.41x = 1,168.90 × 516.06
  4. Step 4: Simplify right side
    847.41x = 603,222.53
  5. Step 5: Solve for x
    x = 603,222.53/847.41
  6. Step 6: Final answer
    x = 711.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.