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Finding the Fourth Proportional to 1,479.24, 2,218.62 and 453

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Solution

The fourth proportional to 1,479.24, 2,218.62 and 453 is: 679.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,479.24 : 2,218.62 = 453 : x
  2. Step 2: Convert to fraction form
    1,479.24/2,218.62 = 453/x
  3. Step 3: Cross multiply
    1,479.24x = 2,218.62 × 453
  4. Step 4: Simplify right side
    1,479.24x = 1,005,034.86
  5. Step 5: Solve for x
    x = 1,005,034.86/1,479.24
  6. Step 6: Final answer
    x = 679.43

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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.