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Finding the Fourth Proportional to 1,193.24, 1,787.91 and 607.43

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Solution

The fourth proportional to 1,193.24, 1,787.91 and 607.43 is: 910.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.24 : 1,787.91 = 607.43 : x
  2. Step 2: Convert to fraction form
    1,193.24/1,787.91 = 607.43/x
  3. Step 3: Cross multiply
    1,193.24x = 1,787.91 × 607.43
  4. Step 4: Simplify right side
    1,193.24x = 1,086,027.13
  5. Step 5: Solve for x
    x = 1,086,027.13/1,193.24
  6. Step 6: Final answer
    x = 910.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.