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Finding the Fourth Proportional to 735.44, 1,015.10 and 455.52

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Solution

The fourth proportional to 735.44, 1,015.10 and 455.52 is: 628.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.44 : 1,015.10 = 455.52 : x
  2. Step 2: Convert to fraction form
    735.44/1,015.10 = 455.52/x
  3. Step 3: Cross multiply
    735.44x = 1,015.10 × 455.52
  4. Step 4: Simplify right side
    735.44x = 462,398.35
  5. Step 5: Solve for x
    x = 462,398.35/735.44
  6. Step 6: Final answer
    x = 628.74

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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.