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Finding the Fourth Proportional to 966.75, 1,449.99 and 317.36

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Solution

The fourth proportional to 966.75, 1,449.99 and 317.36 is: 475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.75 : 1,449.99 = 317.36 : x
  2. Step 2: Convert to fraction form
    966.75/1,449.99 = 317.36/x
  3. Step 3: Cross multiply
    966.75x = 1,449.99 × 317.36
  4. Step 4: Simplify right side
    966.75x = 460,161.58
  5. Step 5: Solve for x
    x = 460,161.58/966.75
  6. Step 6: Final answer
    x = 475.99

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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.