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Finding the Fourth Proportional to 966.88, 1,450.44 and 419.08

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Solution

The fourth proportional to 966.88, 1,450.44 and 419.08 is: 628.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.88 : 1,450.44 = 419.08 : x
  2. Step 2: Convert to fraction form
    966.88/1,450.44 = 419.08/x
  3. Step 3: Cross multiply
    966.88x = 1,450.44 × 419.08
  4. Step 4: Simplify right side
    966.88x = 607,850.40
  5. Step 5: Solve for x
    x = 607,850.40/966.88
  6. Step 6: Final answer
    x = 628.67

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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.