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Finding the Fourth Proportional to 1,185.74, 1,778.84 and 455.26

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Solution

The fourth proportional to 1,185.74, 1,778.84 and 455.26 is: 682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.74 : 1,778.84 = 455.26 : x
  2. Step 2: Convert to fraction form
    1,185.74/1,778.84 = 455.26/x
  3. Step 3: Cross multiply
    1,185.74x = 1,778.84 × 455.26
  4. Step 4: Simplify right side
    1,185.74x = 809,823.53
  5. Step 5: Solve for x
    x = 809,823.53/1,185.74
  6. Step 6: Final answer
    x = 682.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.