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Finding the Fourth Proportional to 1,079.52, 1,619.37 and 421.38

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Solution

The fourth proportional to 1,079.52, 1,619.37 and 421.38 is: 632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.52 : 1,619.37 = 421.38 : x
  2. Step 2: Convert to fraction form
    1,079.52/1,619.37 = 421.38/x
  3. Step 3: Cross multiply
    1,079.52x = 1,619.37 × 421.38
  4. Step 4: Simplify right side
    1,079.52x = 682,370.13
  5. Step 5: Solve for x
    x = 682,370.13/1,079.52
  6. Step 6: Final answer
    x = 632.11

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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.