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Finding the Fourth Proportional to 966.71, 1,450.32 and 418.77

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Solution

The fourth proportional to 966.71, 1,450.32 and 418.77 is: 628.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.71 : 1,450.32 = 418.77 : x
  2. Step 2: Convert to fraction form
    966.71/1,450.32 = 418.77/x
  3. Step 3: Cross multiply
    966.71x = 1,450.32 × 418.77
  4. Step 4: Simplify right side
    966.71x = 607,343.25
  5. Step 5: Solve for x
    x = 607,343.25/966.71
  6. Step 6: Final answer
    x = 628.26

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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.