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Finding the Fourth Proportional to 1,225.55, 1,835.94 and 979.27

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Solution

The fourth proportional to 1,225.55, 1,835.94 and 979.27 is: 1,466.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.55 : 1,835.94 = 979.27 : x
  2. Step 2: Convert to fraction form
    1,225.55/1,835.94 = 979.27/x
  3. Step 3: Cross multiply
    1,225.55x = 1,835.94 × 979.27
  4. Step 4: Simplify right side
    1,225.55x = 1,797,876.37
  5. Step 5: Solve for x
    x = 1,797,876.37/1,225.55
  6. Step 6: Final answer
    x = 1,466.99

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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.