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Finding the Fourth Proportional to 769.04, 1,152.75 and 378.50

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Solution

The fourth proportional to 769.04, 1,152.75 and 378.50 is: 567.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.04 : 1,152.75 = 378.50 : x
  2. Step 2: Convert to fraction form
    769.04/1,152.75 = 378.50/x
  3. Step 3: Cross multiply
    769.04x = 1,152.75 × 378.50
  4. Step 4: Simplify right side
    769.04x = 436,315.88
  5. Step 5: Solve for x
    x = 436,315.88/769.04
  6. Step 6: Final answer
    x = 567.35

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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.