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Finding the Fourth Proportional to 967.64, 1,450.83 and 412.06

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Solution

The fourth proportional to 967.64, 1,450.83 and 412.06 is: 617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.64 : 1,450.83 = 412.06 : x
  2. Step 2: Convert to fraction form
    967.64/1,450.83 = 412.06/x
  3. Step 3: Cross multiply
    967.64x = 1,450.83 × 412.06
  4. Step 4: Simplify right side
    967.64x = 597,829.01
  5. Step 5: Solve for x
    x = 597,829.01/967.64
  6. Step 6: Final answer
    x = 617.82

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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.