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Finding the Fourth Proportional to 1,176.45, 1,764.24 and 354.48

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Solution

The fourth proportional to 1,176.45, 1,764.24 and 354.48 is: 531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.45 : 1,764.24 = 354.48 : x
  2. Step 2: Convert to fraction form
    1,176.45/1,764.24 = 354.48/x
  3. Step 3: Cross multiply
    1,176.45x = 1,764.24 × 354.48
  4. Step 4: Simplify right side
    1,176.45x = 625,387.80
  5. Step 5: Solve for x
    x = 625,387.80/1,176.45
  6. Step 6: Final answer
    x = 531.59

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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.