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Finding the Fourth Proportional to 925.08, 1,379.81 and 786.57

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Solution

The fourth proportional to 925.08, 1,379.81 and 786.57 is: 1,173.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.08 : 1,379.81 = 786.57 : x
  2. Step 2: Convert to fraction form
    925.08/1,379.81 = 786.57/x
  3. Step 3: Cross multiply
    925.08x = 1,379.81 × 786.57
  4. Step 4: Simplify right side
    925.08x = 1,085,317.15
  5. Step 5: Solve for x
    x = 1,085,317.15/925.08
  6. Step 6: Final answer
    x = 1,173.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.