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Finding the Fourth Proportional to 668.69, 1,004.48 and 646.82

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Solution

The fourth proportional to 668.69, 1,004.48 and 646.82 is: 971.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.69 : 1,004.48 = 646.82 : x
  2. Step 2: Convert to fraction form
    668.69/1,004.48 = 646.82/x
  3. Step 3: Cross multiply
    668.69x = 1,004.48 × 646.82
  4. Step 4: Simplify right side
    668.69x = 649,709.50
  5. Step 5: Solve for x
    x = 649,709.50/668.69
  6. Step 6: Final answer
    x = 971.62

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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.