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Finding the Fourth Proportional to 1,185.81, 1,778.41 and 352.68

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Solution

The fourth proportional to 1,185.81, 1,778.41 and 352.68 is: 528.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185.81 : 1,778.41 = 352.68 : x
  2. Step 2: Convert to fraction form
    1,185.81/1,778.41 = 352.68/x
  3. Step 3: Cross multiply
    1,185.81x = 1,778.41 × 352.68
  4. Step 4: Simplify right side
    1,185.81x = 627,203.41
  5. Step 5: Solve for x
    x = 627,203.41/1,185.81
  6. Step 6: Final answer
    x = 528.93

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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.