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Finding the Fourth Proportional to 1,193.32, 1,789.63 and 499.61

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Solution

The fourth proportional to 1,193.32, 1,789.63 and 499.61 is: 749.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.32 : 1,789.63 = 499.61 : x
  2. Step 2: Convert to fraction form
    1,193.32/1,789.63 = 499.61/x
  3. Step 3: Cross multiply
    1,193.32x = 1,789.63 × 499.61
  4. Step 4: Simplify right side
    1,193.32x = 894,117.04
  5. Step 5: Solve for x
    x = 894,117.04/1,193.32
  6. Step 6: Final answer
    x = 749.27

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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.