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Finding the Fourth Proportional to 787.70, 1,182.06 and 727.58

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Solution

The fourth proportional to 787.70, 1,182.06 and 727.58 is: 1,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.70 : 1,182.06 = 727.58 : x
  2. Step 2: Convert to fraction form
    787.70/1,182.06 = 727.58/x
  3. Step 3: Cross multiply
    787.70x = 1,182.06 × 727.58
  4. Step 4: Simplify right side
    787.70x = 860,043.21
  5. Step 5: Solve for x
    x = 860,043.21/787.70
  6. Step 6: Final answer
    x = 1,091.84

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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.