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Finding the Fourth Proportional to 1,352.30, 2,028.34 and 572.27

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Solution

The fourth proportional to 1,352.30, 2,028.34 and 572.27 is: 858.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.30 : 2,028.34 = 572.27 : x
  2. Step 2: Convert to fraction form
    1,352.30/2,028.34 = 572.27/x
  3. Step 3: Cross multiply
    1,352.30x = 2,028.34 × 572.27
  4. Step 4: Simplify right side
    1,352.30x = 1,160,748.71
  5. Step 5: Solve for x
    x = 1,160,748.71/1,352.30
  6. Step 6: Final answer
    x = 858.35

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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.