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Finding the Fourth Proportional to 1,067.55, 1,472.50 and 713.33

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Solution

The fourth proportional to 1,067.55, 1,472.50 and 713.33 is: 983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,067.55 : 1,472.50 = 713.33 : x
  2. Step 2: Convert to fraction form
    1,067.55/1,472.50 = 713.33/x
  3. Step 3: Cross multiply
    1,067.55x = 1,472.50 × 713.33
  4. Step 4: Simplify right side
    1,067.55x = 1,050,380.32
  5. Step 5: Solve for x
    x = 1,050,380.32/1,067.55
  6. Step 6: Final answer
    x = 983.92

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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.