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Finding the Fourth Proportional to 1,186.09, 1,778.69 and 352.87

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Solution

The fourth proportional to 1,186.09, 1,778.69 and 352.87 is: 529.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.09 : 1,778.69 = 352.87 : x
  2. Step 2: Convert to fraction form
    1,186.09/1,778.69 = 352.87/x
  3. Step 3: Cross multiply
    1,186.09x = 1,778.69 × 352.87
  4. Step 4: Simplify right side
    1,186.09x = 627,642.78
  5. Step 5: Solve for x
    x = 627,642.78/1,186.09
  6. Step 6: Final answer
    x = 529.17

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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.