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Finding the Fourth Proportional to 1,168.87, 1,753.26 and 438.46

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Solution

The fourth proportional to 1,168.87, 1,753.26 and 438.46 is: 657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.87 : 1,753.26 = 438.46 : x
  2. Step 2: Convert to fraction form
    1,168.87/1,753.26 = 438.46/x
  3. Step 3: Cross multiply
    1,168.87x = 1,753.26 × 438.46
  4. Step 4: Simplify right side
    1,168.87x = 768,734.38
  5. Step 5: Solve for x
    x = 768,734.38/1,168.87
  6. Step 6: Final answer
    x = 657.67

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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.