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Finding the Fourth Proportional to 1,176.38, 1,764.26 and 558.86

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Solution

The fourth proportional to 1,176.38, 1,764.26 and 558.86 is: 838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.38 : 1,764.26 = 558.86 : x
  2. Step 2: Convert to fraction form
    1,176.38/1,764.26 = 558.86/x
  3. Step 3: Cross multiply
    1,176.38x = 1,764.26 × 558.86
  4. Step 4: Simplify right side
    1,176.38x = 985,967.97
  5. Step 5: Solve for x
    x = 985,967.97/1,176.38
  6. Step 6: Final answer
    x = 838.14

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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.