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Finding the Fourth Proportional to 735.30, 1,014.75 and 440.55

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Solution

The fourth proportional to 735.30, 1,014.75 and 440.55 is: 607.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.30 : 1,014.75 = 440.55 : x
  2. Step 2: Convert to fraction form
    735.30/1,014.75 = 440.55/x
  3. Step 3: Cross multiply
    735.30x = 1,014.75 × 440.55
  4. Step 4: Simplify right side
    735.30x = 447,048.11
  5. Step 5: Solve for x
    x = 447,048.11/735.30
  6. Step 6: Final answer
    x = 607.98

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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.