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Finding the Fourth Proportional to 769.34, 1,153.09 and 456.55

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Solution

The fourth proportional to 769.34, 1,153.09 and 456.55 is: 684.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.34 : 1,153.09 = 456.55 : x
  2. Step 2: Convert to fraction form
    769.34/1,153.09 = 456.55/x
  3. Step 3: Cross multiply
    769.34x = 1,153.09 × 456.55
  4. Step 4: Simplify right side
    769.34x = 526,443.24
  5. Step 5: Solve for x
    x = 526,443.24/769.34
  6. Step 6: Final answer
    x = 684.28

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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.