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Finding the Fourth Proportional to 1,295.80, 1,789.48 and 824.59

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Solution

The fourth proportional to 1,295.80, 1,789.48 and 824.59 is: 1,138.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.80 : 1,789.48 = 824.59 : x
  2. Step 2: Convert to fraction form
    1,295.80/1,789.48 = 824.59/x
  3. Step 3: Cross multiply
    1,295.80x = 1,789.48 × 824.59
  4. Step 4: Simplify right side
    1,295.80x = 1,475,578.37
  5. Step 5: Solve for x
    x = 1,475,578.37/1,295.80
  6. Step 6: Final answer
    x = 1,138.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.