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Finding the Fourth Proportional to 1,257.75, 1,734.48 and 1,140.03

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Solution

The fourth proportional to 1,257.75, 1,734.48 and 1,140.03 is: 1,572.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.75 : 1,734.48 = 1,140.03 : x
  2. Step 2: Convert to fraction form
    1,257.75/1,734.48 = 1,140.03/x
  3. Step 3: Cross multiply
    1,257.75x = 1,734.48 × 1,140.03
  4. Step 4: Simplify right side
    1,257.75x = 1,977,359.23
  5. Step 5: Solve for x
    x = 1,977,359.23/1,257.75
  6. Step 6: Final answer
    x = 1,572.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.