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Finding the Fourth Proportional to 735.21, 1,014.57 and 440.64

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Solution

The fourth proportional to 735.21, 1,014.57 and 440.64 is: 608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.21 : 1,014.57 = 440.64 : x
  2. Step 2: Convert to fraction form
    735.21/1,014.57 = 440.64/x
  3. Step 3: Cross multiply
    735.21x = 1,014.57 × 440.64
  4. Step 4: Simplify right side
    735.21x = 447,060.12
  5. Step 5: Solve for x
    x = 447,060.12/735.21
  6. Step 6: Final answer
    x = 608.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.