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Finding the Fourth Proportional to 1,450.28, 2,001.41 and 787.16

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Solution

The fourth proportional to 1,450.28, 2,001.41 and 787.16 is: 1,086.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.28 : 2,001.41 = 787.16 : x
  2. Step 2: Convert to fraction form
    1,450.28/2,001.41 = 787.16/x
  3. Step 3: Cross multiply
    1,450.28x = 2,001.41 × 787.16
  4. Step 4: Simplify right side
    1,450.28x = 1,575,415.95
  5. Step 5: Solve for x
    x = 1,575,415.95/1,450.28
  6. Step 6: Final answer
    x = 1,086.29

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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.