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Finding the Fourth Proportional to 969.12, 1,453.53 and 319.86

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Solution

The fourth proportional to 969.12, 1,453.53 and 319.86 is: 479.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.12 : 1,453.53 = 319.86 : x
  2. Step 2: Convert to fraction form
    969.12/1,453.53 = 319.86/x
  3. Step 3: Cross multiply
    969.12x = 1,453.53 × 319.86
  4. Step 4: Simplify right side
    969.12x = 464,926.11
  5. Step 5: Solve for x
    x = 464,926.11/969.12
  6. Step 6: Final answer
    x = 479.74

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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.