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Finding the Fourth Proportional to 1,191.84, 1,787.76 and 461.52

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Solution

The fourth proportional to 1,191.84, 1,787.76 and 461.52 is: 692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.84 : 1,787.76 = 461.52 : x
  2. Step 2: Convert to fraction form
    1,191.84/1,787.76 = 461.52/x
  3. Step 3: Cross multiply
    1,191.84x = 1,787.76 × 461.52
  4. Step 4: Simplify right side
    1,191.84x = 825,087.00
  5. Step 5: Solve for x
    x = 825,087.00/1,191.84
  6. Step 6: Final answer
    x = 692.28

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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.