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Finding the Fourth Proportional to 1,176.86, 1,624.07 and 679.49

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Solution

The fourth proportional to 1,176.86, 1,624.07 and 679.49 is: 937.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.86 : 1,624.07 = 679.49 : x
  2. Step 2: Convert to fraction form
    1,176.86/1,624.07 = 679.49/x
  3. Step 3: Cross multiply
    1,176.86x = 1,624.07 × 679.49
  4. Step 4: Simplify right side
    1,176.86x = 1,103,546.22
  5. Step 5: Solve for x
    x = 1,103,546.22/1,176.86
  6. Step 6: Final answer
    x = 937.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.