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Finding the Fourth Proportional to 647.24, 892.13 and 499.64

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Solution

The fourth proportional to 647.24, 892.13 and 499.64 is: 688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.24 : 892.13 = 499.64 : x
  2. Step 2: Convert to fraction form
    647.24/892.13 = 499.64/x
  3. Step 3: Cross multiply
    647.24x = 892.13 × 499.64
  4. Step 4: Simplify right side
    647.24x = 445,736.87
  5. Step 5: Solve for x
    x = 445,736.87/647.24
  6. Step 6: Final answer
    x = 688.68

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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.