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Finding the Fourth Proportional to 1,073.55, 1,609.85 and 303.87

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Solution

The fourth proportional to 1,073.55, 1,609.85 and 303.87 is: 455.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.55 : 1,609.85 = 303.87 : x
  2. Step 2: Convert to fraction form
    1,073.55/1,609.85 = 303.87/x
  3. Step 3: Cross multiply
    1,073.55x = 1,609.85 × 303.87
  4. Step 4: Simplify right side
    1,073.55x = 489,183.60
  5. Step 5: Solve for x
    x = 489,183.60/1,073.55
  6. Step 6: Final answer
    x = 455.67

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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.