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Finding the Fourth Proportional to 1,193.89, 1,789.66 and 501.03

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Solution

The fourth proportional to 1,193.89, 1,789.66 and 501.03 is: 751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.89 : 1,789.66 = 501.03 : x
  2. Step 2: Convert to fraction form
    1,193.89/1,789.66 = 501.03/x
  3. Step 3: Cross multiply
    1,193.89x = 1,789.66 × 501.03
  4. Step 4: Simplify right side
    1,193.89x = 896,673.35
  5. Step 5: Solve for x
    x = 896,673.35/1,193.89
  6. Step 6: Final answer
    x = 751.05

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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.