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Finding the Fourth Proportional to 960.74, 1,440.37 and 440.89

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Solution

The fourth proportional to 960.74, 1,440.37 and 440.89 is: 661.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.74 : 1,440.37 = 440.89 : x
  2. Step 2: Convert to fraction form
    960.74/1,440.37 = 440.89/x
  3. Step 3: Cross multiply
    960.74x = 1,440.37 × 440.89
  4. Step 4: Simplify right side
    960.74x = 635,044.73
  5. Step 5: Solve for x
    x = 635,044.73/960.74
  6. Step 6: Final answer
    x = 661.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.