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Finding the Fourth Proportional to 1,028.46, 1,542.21 and 297.87

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Solution

The fourth proportional to 1,028.46, 1,542.21 and 297.87 is: 446.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028.46 : 1,542.21 = 297.87 : x
  2. Step 2: Convert to fraction form
    1,028.46/1,542.21 = 297.87/x
  3. Step 3: Cross multiply
    1,028.46x = 1,542.21 × 297.87
  4. Step 4: Simplify right side
    1,028.46x = 459,378.09
  5. Step 5: Solve for x
    x = 459,378.09/1,028.46
  6. Step 6: Final answer
    x = 446.67

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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.