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Finding the Fourth Proportional to 1,524.96, 2,287.80 and 794.37

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Solution

The fourth proportional to 1,524.96, 2,287.80 and 794.37 is: 1,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524.96 : 2,287.80 = 794.37 : x
  2. Step 2: Convert to fraction form
    1,524.96/2,287.80 = 794.37/x
  3. Step 3: Cross multiply
    1,524.96x = 2,287.80 × 794.37
  4. Step 4: Simplify right side
    1,524.96x = 1,817,359.69
  5. Step 5: Solve for x
    x = 1,817,359.69/1,524.96
  6. Step 6: Final answer
    x = 1,191.74

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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.