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Finding the Fourth Proportional to 1,142.81, 1,577.09 and 722.72

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Solution

The fourth proportional to 1,142.81, 1,577.09 and 722.72 is: 997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,142.81 : 1,577.09 = 722.72 : x
  2. Step 2: Convert to fraction form
    1,142.81/1,577.09 = 722.72/x
  3. Step 3: Cross multiply
    1,142.81x = 1,577.09 × 722.72
  4. Step 4: Simplify right side
    1,142.81x = 1,139,794.48
  5. Step 5: Solve for x
    x = 1,139,794.48/1,142.81
  6. Step 6: Final answer
    x = 997.36

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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.