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Finding the Fourth Proportional to 676.94, 933.70 and 654.36

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Solution

The fourth proportional to 676.94, 933.70 and 654.36 is: 902.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.94 : 933.70 = 654.36 : x
  2. Step 2: Convert to fraction form
    676.94/933.70 = 654.36/x
  3. Step 3: Cross multiply
    676.94x = 933.70 × 654.36
  4. Step 4: Simplify right side
    676.94x = 610,975.93
  5. Step 5: Solve for x
    x = 610,975.93/676.94
  6. Step 6: Final answer
    x = 902.56

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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.