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Finding the Fourth Proportional to 1,339.88, 2,010.24 and 402.86

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Solution

The fourth proportional to 1,339.88, 2,010.24 and 402.86 is: 604.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,339.88 : 2,010.24 = 402.86 : x
  2. Step 2: Convert to fraction form
    1,339.88/2,010.24 = 402.86/x
  3. Step 3: Cross multiply
    1,339.88x = 2,010.24 × 402.86
  4. Step 4: Simplify right side
    1,339.88x = 809,845.29
  5. Step 5: Solve for x
    x = 809,845.29/1,339.88
  6. Step 6: Final answer
    x = 604.42

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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.