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Finding the Fourth Proportional to 1,613.80, 2,420.70 and 443.78

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Solution

The fourth proportional to 1,613.80, 2,420.70 and 443.78 is: 665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,613.80 : 2,420.70 = 443.78 : x
  2. Step 2: Convert to fraction form
    1,613.80/2,420.70 = 443.78/x
  3. Step 3: Cross multiply
    1,613.80x = 2,420.70 × 443.78
  4. Step 4: Simplify right side
    1,613.80x = 1,074,258.25
  5. Step 5: Solve for x
    x = 1,074,258.25/1,613.80
  6. Step 6: Final answer
    x = 665.67

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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.