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Finding the Fourth Proportional to 1,574.09, 2,359.34 and 794.67

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Solution

The fourth proportional to 1,574.09, 2,359.34 and 794.67 is: 1,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,574.09 : 2,359.34 = 794.67 : x
  2. Step 2: Convert to fraction form
    1,574.09/2,359.34 = 794.67/x
  3. Step 3: Cross multiply
    1,574.09x = 2,359.34 × 794.67
  4. Step 4: Simplify right side
    1,574.09x = 1,874,896.72
  5. Step 5: Solve for x
    x = 1,874,896.72/1,574.09
  6. Step 6: Final answer
    x = 1,191.10

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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.