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Finding the Fourth Proportional to 1,423.35, 2,135.33 and 449.52

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Solution

The fourth proportional to 1,423.35, 2,135.33 and 449.52 is: 674.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.35 : 2,135.33 = 449.52 : x
  2. Step 2: Convert to fraction form
    1,423.35/2,135.33 = 449.52/x
  3. Step 3: Cross multiply
    1,423.35x = 2,135.33 × 449.52
  4. Step 4: Simplify right side
    1,423.35x = 959,871.29
  5. Step 5: Solve for x
    x = 959,871.29/1,423.35
  6. Step 6: Final answer
    x = 674.37

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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.