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Finding the Fourth Proportional to 1,399.16, 2,099.33 and 522.31

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Solution

The fourth proportional to 1,399.16, 2,099.33 and 522.31 is: 783.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.16 : 2,099.33 = 522.31 : x
  2. Step 2: Convert to fraction form
    1,399.16/2,099.33 = 522.31/x
  3. Step 3: Cross multiply
    1,399.16x = 2,099.33 × 522.31
  4. Step 4: Simplify right side
    1,399.16x = 1,096,497.11
  5. Step 5: Solve for x
    x = 1,096,497.11/1,399.16
  6. Step 6: Final answer
    x = 783.69

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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.