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Finding the Fourth Proportional to 1,446.96, 2,169.86 and 459.45

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Solution

The fourth proportional to 1,446.96, 2,169.86 and 459.45 is: 688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.96 : 2,169.86 = 459.45 : x
  2. Step 2: Convert to fraction form
    1,446.96/2,169.86 = 459.45/x
  3. Step 3: Cross multiply
    1,446.96x = 2,169.86 × 459.45
  4. Step 4: Simplify right side
    1,446.96x = 996,939.88
  5. Step 5: Solve for x
    x = 996,939.88/1,446.96
  6. Step 6: Final answer
    x = 688.99

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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.