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Finding the Fourth Proportional to 1,353.90, 1,868.27 and 764.49

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Solution

The fourth proportional to 1,353.90, 1,868.27 and 764.49 is: 1,054.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.90 : 1,868.27 = 764.49 : x
  2. Step 2: Convert to fraction form
    1,353.90/1,868.27 = 764.49/x
  3. Step 3: Cross multiply
    1,353.90x = 1,868.27 × 764.49
  4. Step 4: Simplify right side
    1,353.90x = 1,428,273.73
  5. Step 5: Solve for x
    x = 1,428,273.73/1,353.90
  6. Step 6: Final answer
    x = 1,054.93

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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.