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Finding the Fourth Proportional to 1,192.30, 1,788.99 and 499.48

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Solution

The fourth proportional to 1,192.30, 1,788.99 and 499.48 is: 749.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.30 : 1,788.99 = 499.48 : x
  2. Step 2: Convert to fraction form
    1,192.30/1,788.99 = 499.48/x
  3. Step 3: Cross multiply
    1,192.30x = 1,788.99 × 499.48
  4. Step 4: Simplify right side
    1,192.30x = 893,564.73
  5. Step 5: Solve for x
    x = 893,564.73/1,192.30
  6. Step 6: Final answer
    x = 749.45

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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.