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Finding the Fourth Proportional to 648.69, 971.97 and 454.02

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Solution

The fourth proportional to 648.69, 971.97 and 454.02 is: 680.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.69 : 971.97 = 454.02 : x
  2. Step 2: Convert to fraction form
    648.69/971.97 = 454.02/x
  3. Step 3: Cross multiply
    648.69x = 971.97 × 454.02
  4. Step 4: Simplify right side
    648.69x = 441,293.82
  5. Step 5: Solve for x
    x = 441,293.82/648.69
  6. Step 6: Final answer
    x = 680.28

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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.