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Finding the Fourth Proportional to 1,406.10, 2,108.65 and 418.62

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Solution

The fourth proportional to 1,406.10, 2,108.65 and 418.62 is: 627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.10 : 2,108.65 = 418.62 : x
  2. Step 2: Convert to fraction form
    1,406.10/2,108.65 = 418.62/x
  3. Step 3: Cross multiply
    1,406.10x = 2,108.65 × 418.62
  4. Step 4: Simplify right side
    1,406.10x = 882,723.06
  5. Step 5: Solve for x
    x = 882,723.06/1,406.10
  6. Step 6: Final answer
    x = 627.78

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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.