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Finding the Fourth Proportional to 680.64, 1,021.14 and 264.05

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Solution

The fourth proportional to 680.64, 1,021.14 and 264.05 is: 396.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.64 : 1,021.14 = 264.05 : x
  2. Step 2: Convert to fraction form
    680.64/1,021.14 = 264.05/x
  3. Step 3: Cross multiply
    680.64x = 1,021.14 × 264.05
  4. Step 4: Simplify right side
    680.64x = 269,632.02
  5. Step 5: Solve for x
    x = 269,632.02/680.64
  6. Step 6: Final answer
    x = 396.14

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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.