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Finding the Fourth Proportional to 1,450.63, 2,001.87 and 787.48

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Solution

The fourth proportional to 1,450.63, 2,001.87 and 787.48 is: 1,086.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.63 : 2,001.87 = 787.48 : x
  2. Step 2: Convert to fraction form
    1,450.63/2,001.87 = 787.48/x
  3. Step 3: Cross multiply
    1,450.63x = 2,001.87 × 787.48
  4. Step 4: Simplify right side
    1,450.63x = 1,576,427.58
  5. Step 5: Solve for x
    x = 1,576,427.58/1,450.63
  6. Step 6: Final answer
    x = 1,086.72

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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.