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Finding the Fourth Proportional to 1,352.52, 2,029.37 and 573.06

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Solution

The fourth proportional to 1,352.52, 2,029.37 and 573.06 is: 859.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.52 : 2,029.37 = 573.06 : x
  2. Step 2: Convert to fraction form
    1,352.52/2,029.37 = 573.06/x
  3. Step 3: Cross multiply
    1,352.52x = 2,029.37 × 573.06
  4. Step 4: Simplify right side
    1,352.52x = 1,162,940.63
  5. Step 5: Solve for x
    x = 1,162,940.63/1,352.52
  6. Step 6: Final answer
    x = 859.84

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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.