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Finding the Fourth Proportional to 747.37, 1,031.26 and 415.80

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Solution

The fourth proportional to 747.37, 1,031.26 and 415.80 is: 573.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    747.37 : 1,031.26 = 415.80 : x
  2. Step 2: Convert to fraction form
    747.37/1,031.26 = 415.80/x
  3. Step 3: Cross multiply
    747.37x = 1,031.26 × 415.80
  4. Step 4: Simplify right side
    747.37x = 428,797.91
  5. Step 5: Solve for x
    x = 428,797.91/747.37
  6. Step 6: Final answer
    x = 573.74

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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.