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Finding the Fourth Proportional to 1,446.60, 2,169.74 and 420.60

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Solution

The fourth proportional to 1,446.60, 2,169.74 and 420.60 is: 630.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.60 : 2,169.74 = 420.60 : x
  2. Step 2: Convert to fraction form
    1,446.60/2,169.74 = 420.60/x
  3. Step 3: Cross multiply
    1,446.60x = 2,169.74 × 420.60
  4. Step 4: Simplify right side
    1,446.60x = 912,592.64
  5. Step 5: Solve for x
    x = 912,592.64/1,446.60
  6. Step 6: Final answer
    x = 630.85

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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.