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Finding the Fourth Proportional to 680.30, 1,020.45 and 673.10

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Solution

The fourth proportional to 680.30, 1,020.45 and 673.10 is: 1,009.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.30 : 1,020.45 = 673.10 : x
  2. Step 2: Convert to fraction form
    680.30/1,020.45 = 673.10/x
  3. Step 3: Cross multiply
    680.30x = 1,020.45 × 673.10
  4. Step 4: Simplify right side
    680.30x = 686,864.90
  5. Step 5: Solve for x
    x = 686,864.90/680.30
  6. Step 6: Final answer
    x = 1,009.65

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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.