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Finding the Fourth Proportional to 657.78, 985.59 and 634.02

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Solution

The fourth proportional to 657.78, 985.59 and 634.02 is: 949.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.78 : 985.59 = 634.02 : x
  2. Step 2: Convert to fraction form
    657.78/985.59 = 634.02/x
  3. Step 3: Cross multiply
    657.78x = 985.59 × 634.02
  4. Step 4: Simplify right side
    657.78x = 624,883.77
  5. Step 5: Solve for x
    x = 624,883.77/657.78
  6. Step 6: Final answer
    x = 949.99

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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.