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Finding the Fourth Proportional to 960.04, 1,440.36 and 653.12

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Solution

The fourth proportional to 960.04, 1,440.36 and 653.12 is: 979.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.04 : 1,440.36 = 653.12 : x
  2. Step 2: Convert to fraction form
    960.04/1,440.36 = 653.12/x
  3. Step 3: Cross multiply
    960.04x = 1,440.36 × 653.12
  4. Step 4: Simplify right side
    960.04x = 940,727.92
  5. Step 5: Solve for x
    x = 940,727.92/960.04
  6. Step 6: Final answer
    x = 979.88

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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.