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Finding the Fourth Proportional to 1,446.45, 2,170.02 and 420.45

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Solution

The fourth proportional to 1,446.45, 2,170.02 and 420.45 is: 630.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,446.45 : 2,170.02 = 420.45 : x
  2. Step 2: Convert to fraction form
    1,446.45/2,170.02 = 420.45/x
  3. Step 3: Cross multiply
    1,446.45x = 2,170.02 × 420.45
  4. Step 4: Simplify right side
    1,446.45x = 912,384.91
  5. Step 5: Solve for x
    x = 912,384.91/1,446.45
  6. Step 6: Final answer
    x = 630.78

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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.