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Finding the Fourth Proportional to 966.96, 1,450.66 and 419.23

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Solution

The fourth proportional to 966.96, 1,450.66 and 419.23 is: 628.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.96 : 1,450.66 = 419.23 : x
  2. Step 2: Convert to fraction form
    966.96/1,450.66 = 419.23/x
  3. Step 3: Cross multiply
    966.96x = 1,450.66 × 419.23
  4. Step 4: Simplify right side
    966.96x = 608,160.19
  5. Step 5: Solve for x
    x = 608,160.19/966.96
  6. Step 6: Final answer
    x = 628.94

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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.