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Finding the Fourth Proportional to 1,274.51, 1,911.10 and 580.85

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Solution

The fourth proportional to 1,274.51, 1,911.10 and 580.85 is: 870.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.51 : 1,911.10 = 580.85 : x
  2. Step 2: Convert to fraction form
    1,274.51/1,911.10 = 580.85/x
  3. Step 3: Cross multiply
    1,274.51x = 1,911.10 × 580.85
  4. Step 4: Simplify right side
    1,274.51x = 1,110,062.44
  5. Step 5: Solve for x
    x = 1,110,062.44/1,274.51
  6. Step 6: Final answer
    x = 870.97

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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.