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Finding the Fourth Proportional to 1,550.52, 2,326.98 and 576.84

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Solution

The fourth proportional to 1,550.52, 2,326.98 and 576.84 is: 865.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.52 : 2,326.98 = 576.84 : x
  2. Step 2: Convert to fraction form
    1,550.52/2,326.98 = 576.84/x
  3. Step 3: Cross multiply
    1,550.52x = 2,326.98 × 576.84
  4. Step 4: Simplify right side
    1,550.52x = 1,342,295.14
  5. Step 5: Solve for x
    x = 1,342,295.14/1,550.52
  6. Step 6: Final answer
    x = 865.71

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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.