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Finding the Fourth Proportional to 1,355.27, 1,868.94 and 824.22

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Solution

The fourth proportional to 1,355.27, 1,868.94 and 824.22 is: 1,136.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.27 : 1,868.94 = 824.22 : x
  2. Step 2: Convert to fraction form
    1,355.27/1,868.94 = 824.22/x
  3. Step 3: Cross multiply
    1,355.27x = 1,868.94 × 824.22
  4. Step 4: Simplify right side
    1,355.27x = 1,540,417.73
  5. Step 5: Solve for x
    x = 1,540,417.73/1,355.27
  6. Step 6: Final answer
    x = 1,136.62

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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.