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Finding the Fourth Proportional to 735.50, 1,014.98 and 514.37

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Solution

The fourth proportional to 735.50, 1,014.98 and 514.37 is: 709.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.50 : 1,014.98 = 514.37 : x
  2. Step 2: Convert to fraction form
    735.50/1,014.98 = 514.37/x
  3. Step 3: Cross multiply
    735.50x = 1,014.98 × 514.37
  4. Step 4: Simplify right side
    735.50x = 522,067.62
  5. Step 5: Solve for x
    x = 522,067.62/735.50
  6. Step 6: Final answer
    x = 709.82

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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.