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Finding the Fourth Proportional to 768.96, 1,152.40 and 672.28

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Solution

The fourth proportional to 768.96, 1,152.40 and 672.28 is: 1,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    768.96 : 1,152.40 = 672.28 : x
  2. Step 2: Convert to fraction form
    768.96/1,152.40 = 672.28/x
  3. Step 3: Cross multiply
    768.96x = 1,152.40 × 672.28
  4. Step 4: Simplify right side
    768.96x = 774,735.47
  5. Step 5: Solve for x
    x = 774,735.47/768.96
  6. Step 6: Final answer
    x = 1,007.51

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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.