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Finding the Fourth Proportional to 1,350.75, 2,026.14 and 581.25

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Solution

The fourth proportional to 1,350.75, 2,026.14 and 581.25 is: 871.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.75 : 2,026.14 = 581.25 : x
  2. Step 2: Convert to fraction form
    1,350.75/2,026.14 = 581.25/x
  3. Step 3: Cross multiply
    1,350.75x = 2,026.14 × 581.25
  4. Step 4: Simplify right side
    1,350.75x = 1,177,693.88
  5. Step 5: Solve for x
    x = 1,177,693.88/1,350.75
  6. Step 6: Final answer
    x = 871.88

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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.