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Finding the Fourth Proportional to 1,013.81, 1,399.06 and 548.06

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Solution

The fourth proportional to 1,013.81, 1,399.06 and 548.06 is: 756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,013.81 : 1,399.06 = 548.06 : x
  2. Step 2: Convert to fraction form
    1,013.81/1,399.06 = 548.06/x
  3. Step 3: Cross multiply
    1,013.81x = 1,399.06 × 548.06
  4. Step 4: Simplify right side
    1,013.81x = 766,773.01
  5. Step 5: Solve for x
    x = 766,773.01/1,013.81
  6. Step 6: Final answer
    x = 756.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.