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Finding the Fourth Proportional to 1,295.67, 1,947.60 and 811.80

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Solution

The fourth proportional to 1,295.67, 1,947.60 and 811.80 is: 1,220.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.67 : 1,947.60 = 811.80 : x
  2. Step 2: Convert to fraction form
    1,295.67/1,947.60 = 811.80/x
  3. Step 3: Cross multiply
    1,295.67x = 1,947.60 × 811.80
  4. Step 4: Simplify right side
    1,295.67x = 1,581,061.68
  5. Step 5: Solve for x
    x = 1,581,061.68/1,295.67
  6. Step 6: Final answer
    x = 1,220.27

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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.