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Finding the Fourth Proportional to 1,753.84, 2,632.12 and 659.20

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Solution

The fourth proportional to 1,753.84, 2,632.12 and 659.20 is: 989.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,753.84 : 2,632.12 = 659.20 : x
  2. Step 2: Convert to fraction form
    1,753.84/2,632.12 = 659.20/x
  3. Step 3: Cross multiply
    1,753.84x = 2,632.12 × 659.20
  4. Step 4: Simplify right side
    1,753.84x = 1,735,093.50
  5. Step 5: Solve for x
    x = 1,735,093.50/1,753.84
  6. Step 6: Final answer
    x = 989.31

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Why These Related Problems?

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