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Finding the Fourth Proportional to 1,192.34, 1,788.96 and 461.96

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Solution

The fourth proportional to 1,192.34, 1,788.96 and 461.96 is: 693.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.34 : 1,788.96 = 461.96 : x
  2. Step 2: Convert to fraction form
    1,192.34/1,788.96 = 461.96/x
  3. Step 3: Cross multiply
    1,192.34x = 1,788.96 × 461.96
  4. Step 4: Simplify right side
    1,192.34x = 826,427.96
  5. Step 5: Solve for x
    x = 826,427.96/1,192.34
  6. Step 6: Final answer
    x = 693.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.