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Finding the Fourth Proportional to 756.24, 1,128.78 and 678.48

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Solution

The fourth proportional to 756.24, 1,128.78 and 678.48 is: 1,012.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.24 : 1,128.78 = 678.48 : x
  2. Step 2: Convert to fraction form
    756.24/1,128.78 = 678.48/x
  3. Step 3: Cross multiply
    756.24x = 1,128.78 × 678.48
  4. Step 4: Simplify right side
    756.24x = 765,854.65
  5. Step 5: Solve for x
    x = 765,854.65/756.24
  6. Step 6: Final answer
    x = 1,012.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.