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Finding the Fourth Proportional to 1,273.24, 1,908.24 and 580.29

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Solution

The fourth proportional to 1,273.24, 1,908.24 and 580.29 is: 869.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.24 : 1,908.24 = 580.29 : x
  2. Step 2: Convert to fraction form
    1,273.24/1,908.24 = 580.29/x
  3. Step 3: Cross multiply
    1,273.24x = 1,908.24 × 580.29
  4. Step 4: Simplify right side
    1,273.24x = 1,107,332.59
  5. Step 5: Solve for x
    x = 1,107,332.59/1,273.24
  6. Step 6: Final answer
    x = 869.70

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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.