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Finding the Fourth Proportional to 680.68, 1,024.72 and 465.64

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Solution

The fourth proportional to 680.68, 1,024.72 and 465.64 is: 700.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.68 : 1,024.72 = 465.64 : x
  2. Step 2: Convert to fraction form
    680.68/1,024.72 = 465.64/x
  3. Step 3: Cross multiply
    680.68x = 1,024.72 × 465.64
  4. Step 4: Simplify right side
    680.68x = 477,150.62
  5. Step 5: Solve for x
    x = 477,150.62/680.68
  6. Step 6: Final answer
    x = 700.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.