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Finding the Fourth Proportional to 787.03, 1,179.42 and 579.97

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Solution

The fourth proportional to 787.03, 1,179.42 and 579.97 is: 869.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.03 : 1,179.42 = 579.97 : x
  2. Step 2: Convert to fraction form
    787.03/1,179.42 = 579.97/x
  3. Step 3: Cross multiply
    787.03x = 1,179.42 × 579.97
  4. Step 4: Simplify right side
    787.03x = 684,022.32
  5. Step 5: Solve for x
    x = 684,022.32/787.03
  6. Step 6: Final answer
    x = 869.12

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Why These Related Problems?

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