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Finding the Fourth Proportional to 735.24, 1,015.13 and 455.93

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Solution

The fourth proportional to 735.24, 1,015.13 and 455.93 is: 629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.24 : 1,015.13 = 455.93 : x
  2. Step 2: Convert to fraction form
    735.24/1,015.13 = 455.93/x
  3. Step 3: Cross multiply
    735.24x = 1,015.13 × 455.93
  4. Step 4: Simplify right side
    735.24x = 462,820.87
  5. Step 5: Solve for x
    x = 462,820.87/735.24
  6. Step 6: Final answer
    x = 629.48

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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.