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Finding the Fourth Proportional to 1,680.05, 2,520.43 and 510.14

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Solution

The fourth proportional to 1,680.05, 2,520.43 and 510.14 is: 765.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.05 : 2,520.43 = 510.14 : x
  2. Step 2: Convert to fraction form
    1,680.05/2,520.43 = 510.14/x
  3. Step 3: Cross multiply
    1,680.05x = 2,520.43 × 510.14
  4. Step 4: Simplify right side
    1,680.05x = 1,285,772.16
  5. Step 5: Solve for x
    x = 1,285,772.16/1,680.05
  6. Step 6: Final answer
    x = 765.32

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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.