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Finding the Fourth Proportional to 1,550.87, 2,326.34 and 576.98

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Solution

The fourth proportional to 1,550.87, 2,326.34 and 576.98 is: 865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,550.87 : 2,326.34 = 576.98 : x
  2. Step 2: Convert to fraction form
    1,550.87/2,326.34 = 576.98/x
  3. Step 3: Cross multiply
    1,550.87x = 2,326.34 × 576.98
  4. Step 4: Simplify right side
    1,550.87x = 1,342,251.65
  5. Step 5: Solve for x
    x = 1,342,251.65/1,550.87
  6. Step 6: Final answer
    x = 865.48

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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.