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Finding the Fourth Proportional to 1,450.35, 2,001.45 and 787.23

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Solution

The fourth proportional to 1,450.35, 2,001.45 and 787.23 is: 1,086.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450.35 : 2,001.45 = 787.23 : x
  2. Step 2: Convert to fraction form
    1,450.35/2,001.45 = 787.23/x
  3. Step 3: Cross multiply
    1,450.35x = 2,001.45 × 787.23
  4. Step 4: Simplify right side
    1,450.35x = 1,575,601.48
  5. Step 5: Solve for x
    x = 1,575,601.48/1,450.35
  6. Step 6: Final answer
    x = 1,086.36

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