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Finding the Fourth Proportional to 680.59, 1,021.80 and 460.57

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Solution

The fourth proportional to 680.59, 1,021.80 and 460.57 is: 691.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.59 : 1,021.80 = 460.57 : x
  2. Step 2: Convert to fraction form
    680.59/1,021.80 = 460.57/x
  3. Step 3: Cross multiply
    680.59x = 1,021.80 × 460.57
  4. Step 4: Simplify right side
    680.59x = 470,610.43
  5. Step 5: Solve for x
    x = 470,610.43/680.59
  6. Step 6: Final answer
    x = 691.47

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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.