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Finding the Fourth Proportional to 677.60, 939.90 and 628.96

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Solution

The fourth proportional to 677.60, 939.90 and 628.96 is: 872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.60 : 939.90 = 628.96 : x
  2. Step 2: Convert to fraction form
    677.60/939.90 = 628.96/x
  3. Step 3: Cross multiply
    677.60x = 939.90 × 628.96
  4. Step 4: Simplify right side
    677.60x = 591,159.50
  5. Step 5: Solve for x
    x = 591,159.50/677.60
  6. Step 6: Final answer
    x = 872.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.