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Finding the Fourth Proportional to 735.11, 1,013.93 and 535.74

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Solution

The fourth proportional to 735.11, 1,013.93 and 535.74 is: 738.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.11 : 1,013.93 = 535.74 : x
  2. Step 2: Convert to fraction form
    735.11/1,013.93 = 535.74/x
  3. Step 3: Cross multiply
    735.11x = 1,013.93 × 535.74
  4. Step 4: Simplify right side
    735.11x = 543,198.39
  5. Step 5: Solve for x
    x = 543,198.39/735.11
  6. Step 6: Final answer
    x = 738.94

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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.