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Finding the Fourth Proportional to 1,353.91, 1,868.42 and 764.49

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Solution

The fourth proportional to 1,353.91, 1,868.42 and 764.49 is: 1,055.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.91 : 1,868.42 = 764.49 : x
  2. Step 2: Convert to fraction form
    1,353.91/1,868.42 = 764.49/x
  3. Step 3: Cross multiply
    1,353.91x = 1,868.42 × 764.49
  4. Step 4: Simplify right side
    1,353.91x = 1,428,388.41
  5. Step 5: Solve for x
    x = 1,428,388.41/1,353.91
  6. Step 6: Final answer
    x = 1,055.01

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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.