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Finding the Fourth Proportional to 749.38, 1,124.39 and 685.70

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Solution

The fourth proportional to 749.38, 1,124.39 and 685.70 is: 1,028.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.38 : 1,124.39 = 685.70 : x
  2. Step 2: Convert to fraction form
    749.38/1,124.39 = 685.70/x
  3. Step 3: Cross multiply
    749.38x = 1,124.39 × 685.70
  4. Step 4: Simplify right side
    749.38x = 770,994.22
  5. Step 5: Solve for x
    x = 770,994.22/749.38
  6. Step 6: Final answer
    x = 1,028.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.