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Finding the Fourth Proportional to 1,259.69, 1,733.94 and 1,093.23

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Solution

The fourth proportional to 1,259.69, 1,733.94 and 1,093.23 is: 1,504.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,259.69 : 1,733.94 = 1,093.23 : x
  2. Step 2: Convert to fraction form
    1,259.69/1,733.94 = 1,093.23/x
  3. Step 3: Cross multiply
    1,259.69x = 1,733.94 × 1,093.23
  4. Step 4: Simplify right side
    1,259.69x = 1,895,595.23
  5. Step 5: Solve for x
    x = 1,895,595.23/1,259.69
  6. Step 6: Final answer
    x = 1,504.82

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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.