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Finding the Fourth Proportional to 1,680.56, 2,520.09 and 584.15

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Solution

The fourth proportional to 1,680.56, 2,520.09 and 584.15 is: 875.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.56 : 2,520.09 = 584.15 : x
  2. Step 2: Convert to fraction form
    1,680.56/2,520.09 = 584.15/x
  3. Step 3: Cross multiply
    1,680.56x = 2,520.09 × 584.15
  4. Step 4: Simplify right side
    1,680.56x = 1,472,116.87
  5. Step 5: Solve for x
    x = 1,472,116.87/1,680.56
  6. Step 6: Final answer
    x = 875.97

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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.