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Finding the Fourth Proportional to 1,273.93, 1,910.66 and 580.64

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Solution

The fourth proportional to 1,273.93, 1,910.66 and 580.64 is: 870.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,273.93 : 1,910.66 = 580.64 : x
  2. Step 2: Convert to fraction form
    1,273.93/1,910.66 = 580.64/x
  3. Step 3: Cross multiply
    1,273.93x = 1,910.66 × 580.64
  4. Step 4: Simplify right side
    1,273.93x = 1,109,393.17
  5. Step 5: Solve for x
    x = 1,109,393.17/1,273.93
  6. Step 6: Final answer
    x = 870.84

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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.