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Finding the Fourth Proportional to 763.37, 1,145.14 and 301.09

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Solution

The fourth proportional to 763.37, 1,145.14 and 301.09 is: 451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.37 : 1,145.14 = 301.09 : x
  2. Step 2: Convert to fraction form
    763.37/1,145.14 = 301.09/x
  3. Step 3: Cross multiply
    763.37x = 1,145.14 × 301.09
  4. Step 4: Simplify right side
    763.37x = 344,790.20
  5. Step 5: Solve for x
    x = 344,790.20/763.37
  6. Step 6: Final answer
    x = 451.67

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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.