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Finding the Fourth Proportional to 1,192.88, 1,788.68 and 782

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Solution

The fourth proportional to 1,192.88, 1,788.68 and 782 is: 1,172.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.88 : 1,788.68 = 782 : x
  2. Step 2: Convert to fraction form
    1,192.88/1,788.68 = 782/x
  3. Step 3: Cross multiply
    1,192.88x = 1,788.68 × 782
  4. Step 4: Simplify right side
    1,192.88x = 1,398,747.76
  5. Step 5: Solve for x
    x = 1,398,747.76/1,192.88
  6. Step 6: Final answer
    x = 1,172.58

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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.