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Finding the Fourth Proportional to 756.92, 1,044.14 and 523.64

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Solution

The fourth proportional to 756.92, 1,044.14 and 523.64 is: 722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.92 : 1,044.14 = 523.64 : x
  2. Step 2: Convert to fraction form
    756.92/1,044.14 = 523.64/x
  3. Step 3: Cross multiply
    756.92x = 1,044.14 × 523.64
  4. Step 4: Simplify right side
    756.92x = 546,753.47
  5. Step 5: Solve for x
    x = 546,753.47/756.92
  6. Step 6: Final answer
    x = 722.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.