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Finding the Fourth Proportional to 769.85, 1,152.93 and 398.66

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Solution

The fourth proportional to 769.85, 1,152.93 and 398.66 is: 597.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.85 : 1,152.93 = 398.66 : x
  2. Step 2: Convert to fraction form
    769.85/1,152.93 = 398.66/x
  3. Step 3: Cross multiply
    769.85x = 1,152.93 × 398.66
  4. Step 4: Simplify right side
    769.85x = 459,621.31
  5. Step 5: Solve for x
    x = 459,621.31/769.85
  6. Step 6: Final answer
    x = 597.03

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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.