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Finding the Fourth Proportional to 763.40, 1,144.92 and 301.16

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Solution

The fourth proportional to 763.40, 1,144.92 and 301.16 is: 451.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    763.40 : 1,144.92 = 301.16 : x
  2. Step 2: Convert to fraction form
    763.40/1,144.92 = 301.16/x
  3. Step 3: Cross multiply
    763.40x = 1,144.92 × 301.16
  4. Step 4: Simplify right side
    763.40x = 344,804.11
  5. Step 5: Solve for x
    x = 344,804.11/763.40
  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.