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Finding the Fourth Proportional to 1,404.32, 2,105.45 and 674.41

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Solution

The fourth proportional to 1,404.32, 2,105.45 and 674.41 is: 1,011.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.32 : 2,105.45 = 674.41 : x
  2. Step 2: Convert to fraction form
    1,404.32/2,105.45 = 674.41/x
  3. Step 3: Cross multiply
    1,404.32x = 2,105.45 × 674.41
  4. Step 4: Simplify right side
    1,404.32x = 1,419,927.90
  5. Step 5: Solve for x
    x = 1,419,927.90/1,404.32
  6. Step 6: Final answer
    x = 1,011.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.