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Finding the Fourth Proportional to 969.35, 1,452.08 and 448.65

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Solution

The fourth proportional to 969.35, 1,452.08 and 448.65 is: 672.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.35 : 1,452.08 = 448.65 : x
  2. Step 2: Convert to fraction form
    969.35/1,452.08 = 448.65/x
  3. Step 3: Cross multiply
    969.35x = 1,452.08 × 448.65
  4. Step 4: Simplify right side
    969.35x = 651,475.69
  5. Step 5: Solve for x
    x = 651,475.69/969.35
  6. Step 6: Final answer
    x = 672.07

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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.