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Finding the Fourth Proportional to 762.82, 1,142.71 and 716.24

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Solution

The fourth proportional to 762.82, 1,142.71 and 716.24 is: 1,072.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.82 : 1,142.71 = 716.24 : x
  2. Step 2: Convert to fraction form
    762.82/1,142.71 = 716.24/x
  3. Step 3: Cross multiply
    762.82x = 1,142.71 × 716.24
  4. Step 4: Simplify right side
    762.82x = 818,455.68
  5. Step 5: Solve for x
    x = 818,455.68/762.82
  6. Step 6: Final answer
    x = 1,072.94

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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.