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Finding the Fourth Proportional to 1,191.72, 1,787.84 and 461.51

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Solution

The fourth proportional to 1,191.72, 1,787.84 and 461.51 is: 692.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.72 : 1,787.84 = 461.51 : x
  2. Step 2: Convert to fraction form
    1,191.72/1,787.84 = 461.51/x
  3. Step 3: Cross multiply
    1,191.72x = 1,787.84 × 461.51
  4. Step 4: Simplify right side
    1,191.72x = 825,103.23
  5. Step 5: Solve for x
    x = 825,103.23/1,191.72
  6. Step 6: Final answer
    x = 692.36

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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.