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Finding the Fourth Proportional to 1,680.57, 2,520.54 and 448.08

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Solution

The fourth proportional to 1,680.57, 2,520.54 and 448.08 is: 672.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.57 : 2,520.54 = 448.08 : x
  2. Step 2: Convert to fraction form
    1,680.57/2,520.54 = 448.08/x
  3. Step 3: Cross multiply
    1,680.57x = 2,520.54 × 448.08
  4. Step 4: Simplify right side
    1,680.57x = 1,129,403.56
  5. Step 5: Solve for x
    x = 1,129,403.56/1,680.57
  6. Step 6: Final answer
    x = 672.04

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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.