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Finding the Fourth Proportional to 969.26, 1,454.06 and 319.86

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Solution

The fourth proportional to 969.26, 1,454.06 and 319.86 is: 479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.26 : 1,454.06 = 319.86 : x
  2. Step 2: Convert to fraction form
    969.26/1,454.06 = 319.86/x
  3. Step 3: Cross multiply
    969.26x = 1,454.06 × 319.86
  4. Step 4: Simplify right side
    969.26x = 465,095.63
  5. Step 5: Solve for x
    x = 465,095.63/969.26
  6. Step 6: Final answer
    x = 479.85

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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.