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Finding the Fourth Proportional to 786.57, 1,180.55 and 411.58

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Solution

The fourth proportional to 786.57, 1,180.55 and 411.58 is: 617.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.57 : 1,180.55 = 411.58 : x
  2. Step 2: Convert to fraction form
    786.57/1,180.55 = 411.58/x
  3. Step 3: Cross multiply
    786.57x = 1,180.55 × 411.58
  4. Step 4: Simplify right side
    786.57x = 485,890.77
  5. Step 5: Solve for x
    x = 485,890.77/786.57
  6. Step 6: Final answer
    x = 617.73

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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.