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Finding the Fourth Proportional to 769.06, 1,153.98 and 384.32

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Solution

The fourth proportional to 769.06, 1,153.98 and 384.32 is: 576.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.06 : 1,153.98 = 384.32 : x
  2. Step 2: Convert to fraction form
    769.06/1,153.98 = 384.32/x
  3. Step 3: Cross multiply
    769.06x = 1,153.98 × 384.32
  4. Step 4: Simplify right side
    769.06x = 443,497.59
  5. Step 5: Solve for x
    x = 443,497.59/769.06
  6. Step 6: Final answer
    x = 576.67

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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.