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Finding the Fourth Proportional to 1,423.70, 2,135.65 and 449.77

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Solution

The fourth proportional to 1,423.70, 2,135.65 and 449.77 is: 674.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.70 : 2,135.65 = 449.77 : x
  2. Step 2: Convert to fraction form
    1,423.70/2,135.65 = 449.77/x
  3. Step 3: Cross multiply
    1,423.70x = 2,135.65 × 449.77
  4. Step 4: Simplify right side
    1,423.70x = 960,551.30
  5. Step 5: Solve for x
    x = 960,551.30/1,423.70
  6. Step 6: Final answer
    x = 674.69

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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.