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Finding the Fourth Proportional to 903.72, 1,244.23 and 787.24

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Solution

The fourth proportional to 903.72, 1,244.23 and 787.24 is: 1,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    903.72 : 1,244.23 = 787.24 : x
  2. Step 2: Convert to fraction form
    903.72/1,244.23 = 787.24/x
  3. Step 3: Cross multiply
    903.72x = 1,244.23 × 787.24
  4. Step 4: Simplify right side
    903.72x = 979,504.64
  5. Step 5: Solve for x
    x = 979,504.64/903.72
  6. Step 6: Final answer
    x = 1,083.85

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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.