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Finding the Fourth Proportional to 648.74, 966.55 and 617.78

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Solution

The fourth proportional to 648.74, 966.55 and 617.78 is: 920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.74 : 966.55 = 617.78 : x
  2. Step 2: Convert to fraction form
    648.74/966.55 = 617.78/x
  3. Step 3: Cross multiply
    648.74x = 966.55 × 617.78
  4. Step 4: Simplify right side
    648.74x = 597,108.88
  5. Step 5: Solve for x
    x = 597,108.88/648.74
  6. Step 6: Final answer
    x = 920.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.