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Finding the Fourth Proportional to 1,180.73, 1,770.49 and 358.92

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Solution

The fourth proportional to 1,180.73, 1,770.49 and 358.92 is: 538.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.73 : 1,770.49 = 358.92 : x
  2. Step 2: Convert to fraction form
    1,180.73/1,770.49 = 358.92/x
  3. Step 3: Cross multiply
    1,180.73x = 1,770.49 × 358.92
  4. Step 4: Simplify right side
    1,180.73x = 635,464.27
  5. Step 5: Solve for x
    x = 635,464.27/1,180.73
  6. Step 6: Final answer
    x = 538.20

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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.