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Finding the Fourth Proportional to 1,176.44, 1,623.49 and 679.07

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Solution

The fourth proportional to 1,176.44, 1,623.49 and 679.07 is: 937.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,176.44 : 1,623.49 = 679.07 : x
  2. Step 2: Convert to fraction form
    1,176.44/1,623.49 = 679.07/x
  3. Step 3: Cross multiply
    1,176.44x = 1,623.49 × 679.07
  4. Step 4: Simplify right side
    1,176.44x = 1,102,465.72
  5. Step 5: Solve for x
    x = 1,102,465.72/1,176.44
  6. Step 6: Final answer
    x = 937.12

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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.