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Finding the Fourth Proportional to 1,352.14, 2,027.37 and 571.74

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Solution

The fourth proportional to 1,352.14, 2,027.37 and 571.74 is: 857.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.14 : 2,027.37 = 571.74 : x
  2. Step 2: Convert to fraction form
    1,352.14/2,027.37 = 571.74/x
  3. Step 3: Cross multiply
    1,352.14x = 2,027.37 × 571.74
  4. Step 4: Simplify right side
    1,352.14x = 1,159,128.52
  5. Step 5: Solve for x
    x = 1,159,128.52/1,352.14
  6. Step 6: Final answer
    x = 857.25

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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.