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Finding the Fourth Proportional to 966.94, 1,450.44 and 317.72

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Solution

The fourth proportional to 966.94, 1,450.44 and 317.72 is: 476.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.94 : 1,450.44 = 317.72 : x
  2. Step 2: Convert to fraction form
    966.94/1,450.44 = 317.72/x
  3. Step 3: Cross multiply
    966.94x = 1,450.44 × 317.72
  4. Step 4: Simplify right side
    966.94x = 460,837.42
  5. Step 5: Solve for x
    x = 460,837.42/966.94
  6. Step 6: Final answer
    x = 476.59

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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.