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Finding the Fourth Proportional to 1,400.11, 2,099.98 and 475.63

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Solution

The fourth proportional to 1,400.11, 2,099.98 and 475.63 is: 713.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.11 : 2,099.98 = 475.63 : x
  2. Step 2: Convert to fraction form
    1,400.11/2,099.98 = 475.63/x
  3. Step 3: Cross multiply
    1,400.11x = 2,099.98 × 475.63
  4. Step 4: Simplify right side
    1,400.11x = 998,813.49
  5. Step 5: Solve for x
    x = 998,813.49/1,400.11
  6. Step 6: Final answer
    x = 713.38

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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.