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Finding the Fourth Proportional to 1,351.98, 2,028.02 and 611.45

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Solution

The fourth proportional to 1,351.98, 2,028.02 and 611.45 is: 917.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,351.98 : 2,028.02 = 611.45 : x
  2. Step 2: Convert to fraction form
    1,351.98/2,028.02 = 611.45/x
  3. Step 3: Cross multiply
    1,351.98x = 2,028.02 × 611.45
  4. Step 4: Simplify right side
    1,351.98x = 1,240,032.83
  5. Step 5: Solve for x
    x = 1,240,032.83/1,351.98
  6. Step 6: Final answer
    x = 917.20

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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.