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Finding the Fourth Proportional to 1,444.38, 2,166.92 and 418.38

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Solution

The fourth proportional to 1,444.38, 2,166.92 and 418.38 is: 627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.38 : 2,166.92 = 418.38 : x
  2. Step 2: Convert to fraction form
    1,444.38/2,166.92 = 418.38/x
  3. Step 3: Cross multiply
    1,444.38x = 2,166.92 × 418.38
  4. Step 4: Simplify right side
    1,444.38x = 906,595.99
  5. Step 5: Solve for x
    x = 906,595.99/1,444.38
  6. Step 6: Final answer
    x = 627.67

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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.