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Finding the Fourth Proportional to 735, 1,014.24 and 440.07

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Solution

The fourth proportional to 735, 1,014.24 and 440.07 is: 607.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    735 : 1,014.24 = 440.07 : x
  2. Step 2: Convert to fraction form
    735/1,014.24 = 440.07/x
  3. Step 3: Cross multiply
    735x = 1,014.24 × 440.07
  4. Step 4: Simplify right side
    735x = 446,336.60
  5. Step 5: Solve for x
    x = 446,336.60/735
  6. Step 6: Final answer
    x = 607.26

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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.