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Finding the Fourth Proportional to 680.96, 1,020 and 673.58

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Solution

The fourth proportional to 680.96, 1,020 and 673.58 is: 1,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.96 : 1,020 = 673.58 : x
  2. Step 2: Convert to fraction form
    680.96/1,020 = 673.58/x
  3. Step 3: Cross multiply
    680.96x = 1,020 × 673.58
  4. Step 4: Simplify right side
    680.96x = 687,051.60
  5. Step 5: Solve for x
    x = 687,051.60/680.96
  6. Step 6: Final answer
    x = 1,008.95

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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.