Home / 1,310.14-1,965.89-580.22

Finding the Fourth Proportional to 1,310.14, 1,965.89 and 580.22

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Solution

The fourth proportional to 1,310.14, 1,965.89 and 580.22 is: 870.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.14 : 1,965.89 = 580.22 : x
  2. Step 2: Convert to fraction form
    1,310.14/1,965.89 = 580.22/x
  3. Step 3: Cross multiply
    1,310.14x = 1,965.89 × 580.22
  4. Step 4: Simplify right side
    1,310.14x = 1,140,648.70
  5. Step 5: Solve for x
    x = 1,140,648.70/1,310.14
  6. Step 6: Final answer
    x = 870.63

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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.