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Finding the Fourth Proportional to 818.23, 1,128.87 and 464.11

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Solution

The fourth proportional to 818.23, 1,128.87 and 464.11 is: 640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    818.23 : 1,128.87 = 464.11 : x
  2. Step 2: Convert to fraction form
    818.23/1,128.87 = 464.11/x
  3. Step 3: Cross multiply
    818.23x = 1,128.87 × 464.11
  4. Step 4: Simplify right side
    818.23x = 523,919.86
  5. Step 5: Solve for x
    x = 523,919.86/818.23
  6. Step 6: Final answer
    x = 640.31

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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.