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Finding the Fourth Proportional to 1,496.25, 2,243.45 and 571.86

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Solution

The fourth proportional to 1,496.25, 2,243.45 and 571.86 is: 857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,496.25 : 2,243.45 = 571.86 : x
  2. Step 2: Convert to fraction form
    1,496.25/2,243.45 = 571.86/x
  3. Step 3: Cross multiply
    1,496.25x = 2,243.45 × 571.86
  4. Step 4: Simplify right side
    1,496.25x = 1,282,936.46
  5. Step 5: Solve for x
    x = 1,282,936.46/1,496.25
  6. Step 6: Final answer
    x = 857.43

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