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Finding the Fourth Proportional to 1,105.27, 1,658.03 and 556.99

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Solution

The fourth proportional to 1,105.27, 1,658.03 and 556.99 is: 835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,105.27 : 1,658.03 = 556.99 : x
  2. Step 2: Convert to fraction form
    1,105.27/1,658.03 = 556.99/x
  3. Step 3: Cross multiply
    1,105.27x = 1,658.03 × 556.99
  4. Step 4: Simplify right side
    1,105.27x = 923,506.13
  5. Step 5: Solve for x
    x = 923,506.13/1,105.27
  6. Step 6: Final answer
    x = 835.55

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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.