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Finding the Fourth Proportional to 735.11, 1,015.35 and 535.63

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Solution

The fourth proportional to 735.11, 1,015.35 and 535.63 is: 739.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.11 : 1,015.35 = 535.63 : x
  2. Step 2: Convert to fraction form
    735.11/1,015.35 = 535.63/x
  3. Step 3: Cross multiply
    735.11x = 1,015.35 × 535.63
  4. Step 4: Simplify right side
    735.11x = 543,844.17
  5. Step 5: Solve for x
    x = 543,844.17/735.11
  6. Step 6: Final answer
    x = 739.81

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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.