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Finding the Fourth Proportional to 667.03, 917.70 and 648.80

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Solution

The fourth proportional to 667.03, 917.70 and 648.80 is: 892.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.03 : 917.70 = 648.80 : x
  2. Step 2: Convert to fraction form
    667.03/917.70 = 648.80/x
  3. Step 3: Cross multiply
    667.03x = 917.70 × 648.80
  4. Step 4: Simplify right side
    667.03x = 595,403.76
  5. Step 5: Solve for x
    x = 595,403.76/667.03
  6. Step 6: Final answer
    x = 892.62

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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.