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Finding the Fourth Proportional to 1,142.67, 1,575.31 and 722.81

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Solution

The fourth proportional to 1,142.67, 1,575.31 and 722.81 is: 996.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.67 : 1,575.31 = 722.81 : x
  2. Step 2: Convert to fraction form
    1,142.67/1,575.31 = 722.81/x
  3. Step 3: Cross multiply
    1,142.67x = 1,575.31 × 722.81
  4. Step 4: Simplify right side
    1,142.67x = 1,138,649.82
  5. Step 5: Solve for x
    x = 1,138,649.82/1,142.67
  6. Step 6: Final answer
    x = 996.48

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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.