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Finding the Fourth Proportional to 1,310.87, 1,967.67 and 580.95

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Solution

The fourth proportional to 1,310.87, 1,967.67 and 580.95 is: 872.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.87 : 1,967.67 = 580.95 : x
  2. Step 2: Convert to fraction form
    1,310.87/1,967.67 = 580.95/x
  3. Step 3: Cross multiply
    1,310.87x = 1,967.67 × 580.95
  4. Step 4: Simplify right side
    1,310.87x = 1,143,117.89
  5. Step 5: Solve for x
    x = 1,143,117.89/1,310.87
  6. Step 6: Final answer
    x = 872.03

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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.