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Finding the Fourth Proportional to 1,142.81, 1,716.96 and 732.75

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Solution

The fourth proportional to 1,142.81, 1,716.96 and 732.75 is: 1,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.81 : 1,716.96 = 732.75 : x
  2. Step 2: Convert to fraction form
    1,142.81/1,716.96 = 732.75/x
  3. Step 3: Cross multiply
    1,142.81x = 1,716.96 × 732.75
  4. Step 4: Simplify right side
    1,142.81x = 1,258,102.44
  5. Step 5: Solve for x
    x = 1,258,102.44/1,142.81
  6. Step 6: Final answer
    x = 1,100.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.