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Finding the Fourth Proportional to 717.37, 1,076.75 and 444

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Solution

The fourth proportional to 717.37, 1,076.75 and 444 is: 666.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.37 : 1,076.75 = 444 : x
  2. Step 2: Convert to fraction form
    717.37/1,076.75 = 444/x
  3. Step 3: Cross multiply
    717.37x = 1,076.75 × 444
  4. Step 4: Simplify right side
    717.37x = 478,077
  5. Step 5: Solve for x
    x = 478,077/717.37
  6. Step 6: Final answer
    x = 666.43

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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.