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Finding the Fourth Proportional to 960.18, 1,439.88 and 412.08

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Solution

The fourth proportional to 960.18, 1,439.88 and 412.08 is: 617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    960.18 : 1,439.88 = 412.08 : x
  2. Step 2: Convert to fraction form
    960.18/1,439.88 = 412.08/x
  3. Step 3: Cross multiply
    960.18x = 1,439.88 × 412.08
  4. Step 4: Simplify right side
    960.18x = 593,345.75
  5. Step 5: Solve for x
    x = 593,345.75/960.18
  6. Step 6: Final answer
    x = 617.95

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Why These Related Problems?

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