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Finding the Fourth Proportional to 751.78, 1,127.94 and 427.06

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Solution

The fourth proportional to 751.78, 1,127.94 and 427.06 is: 640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.78 : 1,127.94 = 427.06 : x
  2. Step 2: Convert to fraction form
    751.78/1,127.94 = 427.06/x
  3. Step 3: Cross multiply
    751.78x = 1,127.94 × 427.06
  4. Step 4: Simplify right side
    751.78x = 481,698.06
  5. Step 5: Solve for x
    x = 481,698.06/751.78
  6. Step 6: Final answer
    x = 640.74

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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.