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Finding the Fourth Proportional to 1,260.67, 1,891.05 and 395.05

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Solution

The fourth proportional to 1,260.67, 1,891.05 and 395.05 is: 592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.67 : 1,891.05 = 395.05 : x
  2. Step 2: Convert to fraction form
    1,260.67/1,891.05 = 395.05/x
  3. Step 3: Cross multiply
    1,260.67x = 1,891.05 × 395.05
  4. Step 4: Simplify right side
    1,260.67x = 747,059.30
  5. Step 5: Solve for x
    x = 747,059.30/1,260.67
  6. Step 6: Final answer
    x = 592.59

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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.