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Finding the Fourth Proportional to 1,400.04, 2,099.16 and 475.74

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Solution

The fourth proportional to 1,400.04, 2,099.16 and 475.74 is: 713.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.04 : 2,099.16 = 475.74 : x
  2. Step 2: Convert to fraction form
    1,400.04/2,099.16 = 475.74/x
  3. Step 3: Cross multiply
    1,400.04x = 2,099.16 × 475.74
  4. Step 4: Simplify right side
    1,400.04x = 998,654.38
  5. Step 5: Solve for x
    x = 998,654.38/1,400.04
  6. Step 6: Final answer
    x = 713.30

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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.