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Finding the Fourth Proportional to 680.48, 1,019.25 and 459.89

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Solution

The fourth proportional to 680.48, 1,019.25 and 459.89 is: 688.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.48 : 1,019.25 = 459.89 : x
  2. Step 2: Convert to fraction form
    680.48/1,019.25 = 459.89/x
  3. Step 3: Cross multiply
    680.48x = 1,019.25 × 459.89
  4. Step 4: Simplify right side
    680.48x = 468,735.49
  5. Step 5: Solve for x
    x = 468,735.49/680.48
  6. Step 6: Final answer
    x = 688.84

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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.