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Finding the Fourth Proportional to 1,352.72, 2,027.69 and 529.87

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Solution

The fourth proportional to 1,352.72, 2,027.69 and 529.87 is: 794.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.72 : 2,027.69 = 529.87 : x
  2. Step 2: Convert to fraction form
    1,352.72/2,027.69 = 529.87/x
  3. Step 3: Cross multiply
    1,352.72x = 2,027.69 × 529.87
  4. Step 4: Simplify right side
    1,352.72x = 1,074,412.10
  5. Step 5: Solve for x
    x = 1,074,412.10/1,352.72
  6. Step 6: Final answer
    x = 794.26

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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.