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Finding the Fourth Proportional to 680.21, 1,019.95 and 314.68

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Solution

The fourth proportional to 680.21, 1,019.95 and 314.68 is: 471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.21 : 1,019.95 = 314.68 : x
  2. Step 2: Convert to fraction form
    680.21/1,019.95 = 314.68/x
  3. Step 3: Cross multiply
    680.21x = 1,019.95 × 314.68
  4. Step 4: Simplify right side
    680.21x = 320,957.87
  5. Step 5: Solve for x
    x = 320,957.87/680.21
  6. Step 6: Final answer
    x = 471.85

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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.