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Finding the Fourth Proportional to 1,191.94, 1,787.45 and 411.80

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Solution

The fourth proportional to 1,191.94, 1,787.45 and 411.80 is: 617.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.94 : 1,787.45 = 411.80 : x
  2. Step 2: Convert to fraction form
    1,191.94/1,787.45 = 411.80/x
  3. Step 3: Cross multiply
    1,191.94x = 1,787.45 × 411.80
  4. Step 4: Simplify right side
    1,191.94x = 736,071.91
  5. Step 5: Solve for x
    x = 736,071.91/1,191.94
  6. Step 6: Final answer
    x = 617.54

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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.