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Finding the Fourth Proportional to 1,350.46, 2,025.89 and 656.70

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Solution

The fourth proportional to 1,350.46, 2,025.89 and 656.70 is: 985.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.46 : 2,025.89 = 656.70 : x
  2. Step 2: Convert to fraction form
    1,350.46/2,025.89 = 656.70/x
  3. Step 3: Cross multiply
    1,350.46x = 2,025.89 × 656.70
  4. Step 4: Simplify right side
    1,350.46x = 1,330,401.96
  5. Step 5: Solve for x
    x = 1,330,401.96/1,350.46
  6. Step 6: Final answer
    x = 985.15

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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.