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Finding the Fourth Proportional to 1,680.37, 2,521.56 and 585.50

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Solution

The fourth proportional to 1,680.37, 2,521.56 and 585.50 is: 878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.37 : 2,521.56 = 585.50 : x
  2. Step 2: Convert to fraction form
    1,680.37/2,521.56 = 585.50/x
  3. Step 3: Cross multiply
    1,680.37x = 2,521.56 × 585.50
  4. Step 4: Simplify right side
    1,680.37x = 1,476,379.68
  5. Step 5: Solve for x
    x = 1,476,379.68/1,680.37
  6. Step 6: Final answer
    x = 878.61

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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.