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Finding the Fourth Proportional to 1,372.86, 2,059.09 and 678.89

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Solution

The fourth proportional to 1,372.86, 2,059.09 and 678.89 is: 1,018.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,372.86 : 2,059.09 = 678.89 : x
  2. Step 2: Convert to fraction form
    1,372.86/2,059.09 = 678.89/x
  3. Step 3: Cross multiply
    1,372.86x = 2,059.09 × 678.89
  4. Step 4: Simplify right side
    1,372.86x = 1,397,899.06
  5. Step 5: Solve for x
    x = 1,397,899.06/1,372.86
  6. Step 6: Final answer
    x = 1,018.24

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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.