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Finding the Fourth Proportional to 959.96, 1,440.04 and 412

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Solution

The fourth proportional to 959.96, 1,440.04 and 412 is: 618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.96 : 1,440.04 = 412 : x
  2. Step 2: Convert to fraction form
    959.96/1,440.04 = 412/x
  3. Step 3: Cross multiply
    959.96x = 1,440.04 × 412
  4. Step 4: Simplify right side
    959.96x = 593,296.48
  5. Step 5: Solve for x
    x = 593,296.48/959.96
  6. Step 6: Final answer
    x = 618.04

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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.