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Finding the Fourth Proportional to 1,755.15, 2,632.60 and 659.43

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Solution

The fourth proportional to 1,755.15, 2,632.60 and 659.43 is: 989.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,755.15 : 2,632.60 = 659.43 : x
  2. Step 2: Convert to fraction form
    1,755.15/2,632.60 = 659.43/x
  3. Step 3: Cross multiply
    1,755.15x = 2,632.60 × 659.43
  4. Step 4: Simplify right side
    1,755.15x = 1,736,015.42
  5. Step 5: Solve for x
    x = 1,736,015.42/1,755.15
  6. Step 6: Final answer
    x = 989.10

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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.