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Finding the Fourth Proportional to 1,191.59, 1,786.94 and 358.37

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Solution

The fourth proportional to 1,191.59, 1,786.94 and 358.37 is: 537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.59 : 1,786.94 = 358.37 : x
  2. Step 2: Convert to fraction form
    1,191.59/1,786.94 = 358.37/x
  3. Step 3: Cross multiply
    1,191.59x = 1,786.94 × 358.37
  4. Step 4: Simplify right side
    1,191.59x = 640,385.69
  5. Step 5: Solve for x
    x = 640,385.69/1,191.59
  6. Step 6: Final answer
    x = 537.42

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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.