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Finding the Fourth Proportional to 1,399.66, 2,099.71 and 475.35

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Solution

The fourth proportional to 1,399.66, 2,099.71 and 475.35 is: 713.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.66 : 2,099.71 = 475.35 : x
  2. Step 2: Convert to fraction form
    1,399.66/2,099.71 = 475.35/x
  3. Step 3: Cross multiply
    1,399.66x = 2,099.71 × 475.35
  4. Step 4: Simplify right side
    1,399.66x = 998,089.87
  5. Step 5: Solve for x
    x = 998,089.87/1,399.66
  6. Step 6: Final answer
    x = 713.10

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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.