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Finding the Fourth Proportional to 1,423.01, 2,134.72 and 449.19

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Solution

The fourth proportional to 1,423.01, 2,134.72 and 449.19 is: 673.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.01 : 2,134.72 = 449.19 : x
  2. Step 2: Convert to fraction form
    1,423.01/2,134.72 = 449.19/x
  3. Step 3: Cross multiply
    1,423.01x = 2,134.72 × 449.19
  4. Step 4: Simplify right side
    1,423.01x = 958,894.88
  5. Step 5: Solve for x
    x = 958,894.88/1,423.01
  6. Step 6: Final answer
    x = 673.85

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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.