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Finding the Fourth Proportional to 1,399.95, 2,100.03 and 475.57

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Solution

The fourth proportional to 1,399.95, 2,100.03 and 475.57 is: 713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.95 : 2,100.03 = 475.57 : x
  2. Step 2: Convert to fraction form
    1,399.95/2,100.03 = 475.57/x
  3. Step 3: Cross multiply
    1,399.95x = 2,100.03 × 475.57
  4. Step 4: Simplify right side
    1,399.95x = 998,712.11
  5. Step 5: Solve for x
    x = 998,712.11/1,399.95
  6. Step 6: Final answer
    x = 713.39

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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.