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Finding the Fourth Proportional to 1,379.28, 2,068.94 and 339.28

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Solution

The fourth proportional to 1,379.28, 2,068.94 and 339.28 is: 508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.28 : 2,068.94 = 339.28 : x
  2. Step 2: Convert to fraction form
    1,379.28/2,068.94 = 339.28/x
  3. Step 3: Cross multiply
    1,379.28x = 2,068.94 × 339.28
  4. Step 4: Simplify right side
    1,379.28x = 701,948.27
  5. Step 5: Solve for x
    x = 701,948.27/1,379.28
  6. Step 6: Final answer
    x = 508.93

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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.