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Finding the Fourth Proportional to 767.48, 1,150.96 and 334.52

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Solution

The fourth proportional to 767.48, 1,150.96 and 334.52 is: 501.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    767.48 : 1,150.96 = 334.52 : x
  2. Step 2: Convert to fraction form
    767.48/1,150.96 = 334.52/x
  3. Step 3: Cross multiply
    767.48x = 1,150.96 × 334.52
  4. Step 4: Simplify right side
    767.48x = 385,019.14
  5. Step 5: Solve for x
    x = 385,019.14/767.48
  6. Step 6: Final answer
    x = 501.67

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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.