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Finding the Fourth Proportional to 1,754.52, 2,632.47 and 659.17

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Solution

The fourth proportional to 1,754.52, 2,632.47 and 659.17 is: 989.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,754.52 : 2,632.47 = 659.17 : x
  2. Step 2: Convert to fraction form
    1,754.52/2,632.47 = 659.17/x
  3. Step 3: Cross multiply
    1,754.52x = 2,632.47 × 659.17
  4. Step 4: Simplify right side
    1,754.52x = 1,735,245.25
  5. Step 5: Solve for x
    x = 1,735,245.25/1,754.52
  6. Step 6: Final answer
    x = 989.01

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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.