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Finding the Fourth Proportional to 669.47, 911.86 and 667.64

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Solution

The fourth proportional to 669.47, 911.86 and 667.64 is: 909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.47 : 911.86 = 667.64 : x
  2. Step 2: Convert to fraction form
    669.47/911.86 = 667.64/x
  3. Step 3: Cross multiply
    669.47x = 911.86 × 667.64
  4. Step 4: Simplify right side
    669.47x = 608,794.82
  5. Step 5: Solve for x
    x = 608,794.82/669.47
  6. Step 6: Final answer
    x = 909.38

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.