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Finding the Fourth Proportional to 1,310.87, 1,961.36 and 781.82

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Solution

The fourth proportional to 1,310.87, 1,961.36 and 781.82 is: 1,169.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.87 : 1,961.36 = 781.82 : x
  2. Step 2: Convert to fraction form
    1,310.87/1,961.36 = 781.82/x
  3. Step 3: Cross multiply
    1,310.87x = 1,961.36 × 781.82
  4. Step 4: Simplify right side
    1,310.87x = 1,533,416.76
  5. Step 5: Solve for x
    x = 1,533,416.76/1,310.87
  6. Step 6: Final answer
    x = 1,169.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.