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Finding the Fourth Proportional to 1,282.87, 1,921.82 and 754.51

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Solution

The fourth proportional to 1,282.87, 1,921.82 and 754.51 is: 1,130.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.87 : 1,921.82 = 754.51 : x
  2. Step 2: Convert to fraction form
    1,282.87/1,921.82 = 754.51/x
  3. Step 3: Cross multiply
    1,282.87x = 1,921.82 × 754.51
  4. Step 4: Simplify right side
    1,282.87x = 1,450,028.64
  5. Step 5: Solve for x
    x = 1,450,028.64/1,282.87
  6. Step 6: Final answer
    x = 1,130.30

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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.