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Finding the Fourth Proportional to 1,273.61, 1,909.87 and 580.07

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Solution

The fourth proportional to 1,273.61, 1,909.87 and 580.07 is: 869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.61 : 1,909.87 = 580.07 : x
  2. Step 2: Convert to fraction form
    1,273.61/1,909.87 = 580.07/x
  3. Step 3: Cross multiply
    1,273.61x = 1,909.87 × 580.07
  4. Step 4: Simplify right side
    1,273.61x = 1,107,858.29
  5. Step 5: Solve for x
    x = 1,107,858.29/1,273.61
  6. Step 6: Final answer
    x = 869.86

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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.