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Finding the Fourth Proportional to 735.60, 1,014.96 and 455.84

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Solution

The fourth proportional to 735.60, 1,014.96 and 455.84 is: 628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.60 : 1,014.96 = 455.84 : x
  2. Step 2: Convert to fraction form
    735.60/1,014.96 = 455.84/x
  3. Step 3: Cross multiply
    735.60x = 1,014.96 × 455.84
  4. Step 4: Simplify right side
    735.60x = 462,659.37
  5. Step 5: Solve for x
    x = 462,659.37/735.60
  6. Step 6: Final answer
    x = 628.96

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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.