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Finding the Fourth Proportional to 1,193.29, 1,789.48 and 500.00

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Solution

The fourth proportional to 1,193.29, 1,789.48 and 500.00 is: 749.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.29 : 1,789.48 = 500.00 : x
  2. Step 2: Convert to fraction form
    1,193.29/1,789.48 = 500.00/x
  3. Step 3: Cross multiply
    1,193.29x = 1,789.48 × 500.00
  4. Step 4: Simplify right side
    1,193.29x = 894,731.68
  5. Step 5: Solve for x
    x = 894,731.68/1,193.29
  6. Step 6: Final answer
    x = 749.80

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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.