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Finding the Fourth Proportional to 1,399.48, 2,100.06 and 522.16

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Solution

The fourth proportional to 1,399.48, 2,100.06 and 522.16 is: 783.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,399.48 : 2,100.06 = 522.16 : x
  2. Step 2: Convert to fraction form
    1,399.48/2,100.06 = 522.16/x
  3. Step 3: Cross multiply
    1,399.48x = 2,100.06 × 522.16
  4. Step 4: Simplify right side
    1,399.48x = 1,096,567.33
  5. Step 5: Solve for x
    x = 1,096,567.33/1,399.48
  6. Step 6: Final answer
    x = 783.55

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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.