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Finding the Fourth Proportional to 1,403.38, 1,937.27 and 879.71

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Solution

The fourth proportional to 1,403.38, 1,937.27 and 879.71 is: 1,214.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.38 : 1,937.27 = 879.71 : x
  2. Step 2: Convert to fraction form
    1,403.38/1,937.27 = 879.71/x
  3. Step 3: Cross multiply
    1,403.38x = 1,937.27 × 879.71
  4. Step 4: Simplify right side
    1,403.38x = 1,704,231.39
  5. Step 5: Solve for x
    x = 1,704,231.39/1,403.38
  6. Step 6: Final answer
    x = 1,214.38

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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.