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Finding the Fourth Proportional to 756.76, 1,044.25 and 425.22

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Solution

The fourth proportional to 756.76, 1,044.25 and 425.22 is: 586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.76 : 1,044.25 = 425.22 : x
  2. Step 2: Convert to fraction form
    756.76/1,044.25 = 425.22/x
  3. Step 3: Cross multiply
    756.76x = 1,044.25 × 425.22
  4. Step 4: Simplify right side
    756.76x = 444,033.86
  5. Step 5: Solve for x
    x = 444,033.86/756.76
  6. Step 6: Final answer
    x = 586.76

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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.