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Finding the Fourth Proportional to 1,352.79, 2,027.48 and 734.99

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Solution

The fourth proportional to 1,352.79, 2,027.48 and 734.99 is: 1,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.79 : 2,027.48 = 734.99 : x
  2. Step 2: Convert to fraction form
    1,352.79/2,027.48 = 734.99/x
  3. Step 3: Cross multiply
    1,352.79x = 2,027.48 × 734.99
  4. Step 4: Simplify right side
    1,352.79x = 1,490,163.71
  5. Step 5: Solve for x
    x = 1,490,163.71/1,352.79
  6. Step 6: Final answer
    x = 1,101.55

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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.