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Finding the Fourth Proportional to 1,393.53, 2,091.12 and 571.69

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Solution

The fourth proportional to 1,393.53, 2,091.12 and 571.69 is: 857.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,393.53 : 2,091.12 = 571.69 : x
  2. Step 2: Convert to fraction form
    1,393.53/2,091.12 = 571.69/x
  3. Step 3: Cross multiply
    1,393.53x = 2,091.12 × 571.69
  4. Step 4: Simplify right side
    1,393.53x = 1,195,472.39
  5. Step 5: Solve for x
    x = 1,195,472.39/1,393.53
  6. Step 6: Final answer
    x = 857.87

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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.