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Finding the Fourth Proportional to 1,453.64, 2,180.70 and 479.80

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Solution

The fourth proportional to 1,453.64, 2,180.70 and 479.80 is: 719.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,453.64 : 2,180.70 = 479.80 : x
  2. Step 2: Convert to fraction form
    1,453.64/2,180.70 = 479.80/x
  3. Step 3: Cross multiply
    1,453.64x = 2,180.70 × 479.80
  4. Step 4: Simplify right side
    1,453.64x = 1,046,299.86
  5. Step 5: Solve for x
    x = 1,046,299.86/1,453.64
  6. Step 6: Final answer
    x = 719.78

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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.