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Finding the Fourth Proportional to 1,193.26, 1,787.91 and 462.44

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Solution

The fourth proportional to 1,193.26, 1,787.91 and 462.44 is: 692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.26 : 1,787.91 = 462.44 : x
  2. Step 2: Convert to fraction form
    1,193.26/1,787.91 = 462.44/x
  3. Step 3: Cross multiply
    1,193.26x = 1,787.91 × 462.44
  4. Step 4: Simplify right side
    1,193.26x = 826,792.16
  5. Step 5: Solve for x
    x = 826,792.16/1,193.26
  6. Step 6: Final answer
    x = 692.89

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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.