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Finding the Fourth Proportional to 735.45, 1,015.40 and 455.98

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Solution

The fourth proportional to 735.45, 1,015.40 and 455.98 is: 629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.45 : 1,015.40 = 455.98 : x
  2. Step 2: Convert to fraction form
    735.45/1,015.40 = 455.98/x
  3. Step 3: Cross multiply
    735.45x = 1,015.40 × 455.98
  4. Step 4: Simplify right side
    735.45x = 463,004.70
  5. Step 5: Solve for x
    x = 463,004.70/735.45
  6. Step 6: Final answer
    x = 629.55

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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.