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Finding the Fourth Proportional to 735.36, 1,014.91 and 440.72

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Solution

The fourth proportional to 735.36, 1,014.91 and 440.72 is: 608.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.36 : 1,014.91 = 440.72 : x
  2. Step 2: Convert to fraction form
    735.36/1,014.91 = 440.72/x
  3. Step 3: Cross multiply
    735.36x = 1,014.91 × 440.72
  4. Step 4: Simplify right side
    735.36x = 447,283.86
  5. Step 5: Solve for x
    x = 447,283.86/735.36
  6. Step 6: Final answer
    x = 608.26

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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.