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Finding the Fourth Proportional to 1,086.84, 1,630.28 and 762.44

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Solution

The fourth proportional to 1,086.84, 1,630.28 and 762.44 is: 1,143.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.84 : 1,630.28 = 762.44 : x
  2. Step 2: Convert to fraction form
    1,086.84/1,630.28 = 762.44/x
  3. Step 3: Cross multiply
    1,086.84x = 1,630.28 × 762.44
  4. Step 4: Simplify right side
    1,086.84x = 1,242,990.68
  5. Step 5: Solve for x
    x = 1,242,990.68/1,086.84
  6. Step 6: Final answer
    x = 1,143.67

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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.